Graduate

Signed-off-by: Matt Strapp <matt@mattstrapp.net>

1 files changed, 1024 insertions, 0 deletions

diff --git a/math2373/lab2.txt b/math2373/lab2.txt
new file mode 100644
index 0000000..689a36b
--- /dev/null
+++ b/math2373/lab2.txt
@@ -0,0 +1,1024 @@
+format rational
+A=[2 -1 4 -5 19; -1 3 -2 -1 -18; 0 1 5 -6 12; 3 -8 1 0 29]
+
+A =
+
+       2             -1              4             -5             19       
+      -1              3             -2             -1            -18       
+       0              1              5             -6             12       
+       3             -8              1              0             29       
+
+ 
+
+A(1,:)=A(1,:)+A(2,:)
+
+A =
+
+       1              2              2             -6              1       
+      -1              3             -2             -1            -18       
+       0              1              5             -6             12       
+       3             -8              1              0             29       
+
+
+A(2,:)=A(2,:)+A(1,:)
+
+A =
+
+       1              2              2             -6              1       
+       0              5              0             -7            -17       
+       0              1              5             -6             12       
+       3             -8              1              0             29       
+
+A(4,:)=A(4,:)-3*A(1,:)
+
+A =
+
+       1              2              2             -6              1       
+       0              5              0             -7            -17       
+       0              1              5             -6             12       
+       0            -14             -5             18             26       
+
+A(2,:)=A(2,:)-4*A(3,:)
+
+A =
+
+       1              2              2             -6              1       
+       0              1            -20             17            -65       
+       0              1              5             -6             12       
+       0            -14             -5             18             26       
+
+A(3,:)=A(2,:)-A(3,:)
+
+A =
+
+       1              2              2             -6              1       
+       0              1            -20             17            -65       
+       0              0            -25             23            -77       
+       0            -14             -5             18             26       
+
+
+A(4,:)=A(2,:)+14*A(2,:)
+
+A =
+
+       1              2              2             -6              1       
+       0              1            -20             17            -65       
+       0              0            -25             23            -77       
+       0             15           -300            255           -975       
+
+A(4,:)=A(2,:)-14*A(2,:)
+
+A =
+
+       1              2              2             -6              1       
+       0              1            -20             17            -65       
+       0              0            -25             23            -77       
+       0            -13            260           -221            845       
+
+A =
+ A =
+    ↑
+{Error: Invalid expression. Check for missing or extra characters.
+} 
+A = Aog
+
+A =
+
+       2             -1              4             -5             19       
+      -1              3             -2             -1            -18       
+       0              1              5             -6             12       
+       3             -8              1              0             29       
+
+A(1,:)=A(1,:)+A(2,:)
+
+A =
+
+       1              2              2             -6              1       
+      -1              3             -2             -1            -18       
+       0              1              5             -6             12       
+       3             -8              1              0             29       
+
+A(2,:)=A(2,:)+A(1,:)
+
+A =
+
+       1              2              2             -6              1       
+       0              5              0             -7            -17       
+       0              1              5             -6             12       
+       3             -8              1              0             29       
+
+A(4,:)=A(4,:)-3*A(1,:)
+
+A =
+
+       1              2              2             -6              1       
+       0              5              0             -7            -17       
+       0              1              5             -6             12       
+       0            -14             -5             18             26       
+
+Aog2=a
+{Undefined function or variable 'a'.
+} 
+Aog2=A
+
+Aog2 =
+
+       1              2              2             -6              1       
+       0              5              0             -7            -17       
+       0              1              5             -6             12       
+       0            -14             -5             18             26       
+
+A(2,:)=A(2,:)-4*A(3,:)
+
+A =
+
+       1              2              2             -6              1       
+       0              1            -20             17            -65       
+       0              1              5             -6             12       
+       0            -14             -5             18             26       
+
+A(3,:)=A(2,:)-A(3,:)
+
+A =
+
+       1              2              2             -6              1       
+       0              1            -20             17            -65       
+       0              0            -25             23            -77       
+       0            -14             -5             18             26       
+
+A(4,:)=A(4,:)+14*A(2,:)
+
+A =
+
+       1              2              2             -6              1       
+       0              1            -20             17            -65       
+       0              0            -25             23            -77       
+       0              0           -285            256           -884       
+
+Aog3=A
+
+Aog3 =
+
+       1              2              2             -6              1       
+       0              1            -20             17            -65       
+       0              0            -25             23            -77       
+       0              0           -285            256           -884       
+
+A(3,:)=A(3,:)/-25
+
+A =
+
+       1              2              2             -6              1       
+       0              1            -20             17            -65       
+       0              0              1            -23/25          77/25    
+       0              0           -285            256           -884       
+
+A(4,:)=A(4,:)+285*A(3,:)
+
+A =
+
+       1              2              2             -6              1       
+       0              1            -20             17            -65       
+       0              0              1            -23/25          77/25    
+       0              0              0            -31/5          -31/5     
+
+A(4,:)=A(4,:)*5
+
+A =
+
+       1              2              2             -6              1       
+       0              1            -20             17            -65       
+       0              0              1            -23/25          77/25    
+       0              0              0            -31            -31       
+
+A(4,:)=A(4,:)/-31
+
+A =
+
+       1              2              2             -6              1       
+       0              1            -20             17            -65       
+       0              0              1            -23/25          77/25    
+       0              0              0              1              1       
+
+Aref=A
+
+Aref =
+
+       1              2              2             -6              1       
+       0              1            -20             17            -65       
+       0              0              1            -23/25          77/25    
+       0              0              0              1              1       
+
+A(1,:)=A(1,:)-2*A(2,:)
+
+A =
+
+       1              0             42            -40            131       
+       0              1            -20             17            -65       
+       0              0              1            -23/25          77/25    
+       0              0              0              1              1       
+
+A(1,:)=A(1,:)-42*A(3,:)
+
+A =
+
+       1              0              0            -34/25          41/25    
+       0              1            -20             17            -65       
+       0              0              1            -23/25          77/25    
+       0              0              0              1              1       
+
+A(2,:)=A(2,:)-20*A(3,:)
+
+A =
+
+       1              0              0            -34/25          41/25    
+       0              1            -40            177/5         -633/5     
+       0              0              1            -23/25          77/25    
+       0              0              0              1              1       
+
+A(2,:)=A(2,:)+20*A(3,:)
+
+A =
+
+       1              0              0            -34/25          41/25    
+       0              1            -20             17            -65       
+       0              0              1            -23/25          77/25    
+       0              0              0              1              1       
+
+A(2,:)=A(2,:)+20*A(3,:)
+
+A =
+
+       1              0              0            -34/25          41/25    
+       0              1              0             -7/5          -17/5     
+       0              0              1            -23/25          77/25    
+       0              0              0              1              1       
+
+A(1,:)=A(1,:)+(34/25)*A(5,:)
+{Index in position 1 exceeds array bounds (must not exceed 4).
+} 
+A(1,:)=A(1,:)+(34/25)*A(4,:)
+
+A =
+
+       1              0              0              *              3       
+       0              1              0             -7/5          -17/5     
+       0              0              1            -23/25          77/25    
+       0              0              0              1              1       
+
+A(2,:)=A(2,:)+(7/5)*A(4,:)
+
+A =
+
+       1              0              0              *              3       
+       0              1              0              *             -2       
+       0              0              1            -23/25          77/25    
+       0              0              0              1              1       
+
+A(3,:)=A(3,:)+(23/5)*A(4,:)
+
+A =
+
+       1              0              0              *              3       
+       0              1              0              *             -2       
+       0              0              1             92/25         192/25    
+       0              0              0              1              1       
+
+A(3,:)=A(3,:)-(23/5)*A(4,:)
+
+A =
+
+       1              0              0              *              3       
+       0              1              0              *             -2       
+       0              0              1            -23/25          77/25    
+       0              0              0              1              1       
+
+A(3,:)=A(3,:)-(23/5)*A(4,:)
+
+A =
+
+       1              0              0              *              3       
+       0              1              0              *             -2       
+       0              0              1           -138/25         -38/25    
+       0              0              0              1              1       
+
+A(3,:)=A(3,:)+(23/5)*A(4,:)
+
+A =
+
+       1              0              0              *              3       
+       0              1              0              *             -2       
+       0              0              1            -23/25          77/25    
+       0              0              0              1              1       
+
+A(3,:)=A(3,:)-(23/5)*A(4,:)
+
+A =
+
+       1              0              0              *              3       
+       0              1              0              *             -2       
+       0              0              1           -138/25         -38/25    
+       0              0              0              1              1       
+
+A(3,:)=A(3,:)+(23/5)*A(4,:)
+
+A =
+
+       1              0              0              *              3       
+       0              1              0              *             -2       
+       0              0              1            -23/25          77/25    
+       0              0              0              1              1       
+
+A(3,:)=A(3,:)+(23/25)*A(4,:)
+
+A =
+
+       1              0              0              *              3       
+       0              1              0              *             -2       
+       0              0              1              *              4       
+       0              0              0              1              1       
+
+Aans=A
+
+Aans =
+
+       1              0              0              *              3       
+       0              1              0              *             -2       
+       0              0              1              *              4       
+       0              0              0              1              1       
+
+diary off
+rref(Aog)
+
+ans =
+
+       1              0              0              0              3       
+       0              1              0              0             -2       
+       0              0              1              0              4       
+       0              0              0              1              1       
+
+diary off
+format rational
+A=[-2 1 9 1; 3 3 -4 2; 1 4 5 5]
+
+A =
+
+  Columns 1 through 3
+
+      -2              1              9       
+       3              3             -4       
+       1              4              5       
+
+  Column 4
+
+       1       
+       2       
+       5       
+
+Asave=A
+
+Asave =
+
+  Columns 1 through 3
+
+      -2              1              9       
+       3              3             -4       
+       1              4              5       
+
+  Column 4
+
+       1       
+       2       
+       5       
+
+a=A
+
+a =
+
+  Columns 1 through 3
+
+      -2              1              9       
+       3              3             -4       
+       1              4              5       
+
+  Column 4
+
+       1       
+       2       
+       5       
+
+a([1 3],:)=a([3 1],:)
+
+a =
+
+  Columns 1 through 3
+
+       1              4              5       
+       3              3             -4       
+      -2              1              9       
+
+  Column 4
+
+       5       
+       2       
+       1       
+
+a(2,:)=a(2,:)-3+a(1,:)
+
+a =
+
+  Columns 1 through 3
+
+       1              4              5       
+       1              4             -2       
+      -2              1              9       
+
+  Column 4
+
+       5       
+       4       
+       1       
+
+a(2,:)=a(2,:)+3-a(1,:)
+
+a =
+
+  Columns 1 through 3
+
+       1              4              5       
+       3              3             -4       
+      -2              1              9       
+
+  Column 4
+
+       5       
+       2       
+       1       
+
+a(2,:)=a(2,:)-3*a(1,:)
+
+a =
+
+  Columns 1 through 3
+
+       1              4              5       
+       0             -9            -19       
+      -2              1              9       
+
+  Column 4
+
+       5       
+     -13       
+       1       
+
+a(3,:)=a(3,:)+2*a(1,:)
+
+a =
+
+  Columns 1 through 3
+
+       1              4              5       
+       0             -9            -19       
+       0              9             19       
+
+  Column 4
+
+       5       
+     -13       
+      11       
+
+a(2,:)=a(2,:)/-9
+
+a =
+
+  Columns 1 through 3
+
+       1              4              5       
+       0              1             19/9     
+       0              9             19       
+
+  Column 4
+
+       5       
+      13/9     
+      11       
+
+a(3,:)=a(3,:)-9*a(2,:)
+
+a =
+
+  Columns 1 through 3
+
+       1              4              5       
+       0              1             19/9     
+       0              0              0       
+
+  Column 4
+
+       5       
+      13/9     
+      -2       
+
+ref2=a
+
+ref2 =
+
+  Columns 1 through 3
+
+       1              4              5       
+       0              1             19/9     
+       0              0              0       
+
+  Column 4
+
+       5       
+      13/9     
+      -2       
+
+a=[2 3 -4 1 2; 3 -1 -1 2 4; 1 -7 5 -1 6]
+
+a =
+
+  Columns 1 through 3
+
+       2              3             -4       
+       3             -1             -1       
+       1             -7              5       
+
+  Columns 4 through 5
+
+       1              2       
+       2              4       
+      -1              6       
+
+a([1 3],:)=a([3 1],:)
+
+a =
+
+  Columns 1 through 3
+
+       1             -7              5       
+       3             -1             -1       
+       2              3             -4       
+
+  Columns 4 through 5
+
+      -1              6       
+       2              4       
+       1              2       
+
+a(2,:)=a(2,:)-3*a(1,:)
+
+a =
+
+  Columns 1 through 3
+
+       1             -7              5       
+       0             20            -16       
+       2              3             -4       
+
+  Columns 4 through 5
+
+      -1              6       
+       5            -14       
+       1              2       
+
+a(3,:)=a(3,:)-2*a(1,:)
+
+a =
+
+  Columns 1 through 3
+
+       1             -7              5       
+       0             20            -16       
+       0             17            -14       
+
+  Columns 4 through 5
+
+      -1              6       
+       5            -14       
+       3            -10       
+
+a(2,:)=a(2,:)/20
+
+a =
+
+  Columns 1 through 3
+
+       1             -7              5       
+       0              1             -4/5     
+       0             17            -14       
+
+  Columns 4 through 5
+
+      -1              6       
+       1/4           -7/10    
+       3            -10       
+
+a(3,:)=a(3,:)-17*a(2,:)
+
+a =
+
+  Columns 1 through 3
+
+       1             -7              5       
+       0              1             -4/5     
+       0              0             -2/5     
+
+  Columns 4 through 5
+
+      -1              6       
+       1/4           -7/10    
+      -5/4           19/10    
+
+a(3,:)=a(3,:)*(-5/2)
+
+a =
+
+  Columns 1 through 3
+
+       1             -7              5       
+       0              1             -4/5     
+       0              0              1       
+
+  Columns 4 through 5
+
+      -1              6       
+       1/4           -7/10    
+      25/8          -19/4     
+
+A=[2 3 -4 1 2; 3 -1 -1 2 4; 1 -7 5 -1 6]
+
+A =
+
+  Columns 1 through 3
+
+       2              3             -4       
+       3             -1             -1       
+       1             -7              5       
+
+  Columns 4 through 5
+
+       1              2       
+       2              4       
+      -1              6       
+
+rref(A)
+
+ans =
+
+  Columns 1 through 3
+
+       1              0              0       
+       0              1              0       
+       0              0              1       
+
+  Columns 4 through 5
+
+      21/8           -7/4     
+      11/4           -9/2     
+      25/8          -19/4     
+
+a
+
+a =
+
+  Columns 1 through 3
+
+       1             -7              5       
+       0              1             -4/5     
+       0              0              1       
+
+  Columns 4 through 5
+
+      -1              6       
+       1/4           -7/10    
+      25/8          -19/4     
+
+a(1,:)=a(1,:)+7*a(2,:)
+
+a =
+
+  Columns 1 through 3
+
+       1              0             -3/5     
+       0              1             -4/5     
+       0              0              1       
+
+  Columns 4 through 5
+
+       3/4           11/10    
+       1/4           -7/10    
+      25/8          -19/4     
+
+a(1,:)=a(1,:)+(3/5)*a(3,:)
+
+a =
+
+  Columns 1 through 3
+
+       1              0              *       
+       0              1             -4/5     
+       0              0              1       
+
+  Columns 4 through 5
+
+      21/8           -7/4     
+       1/4           -7/10    
+      25/8          -19/4     
+
+a(2,:)=a(2,:)+(4/5)*a(3,:)
+
+a =
+
+  Columns 1 through 3
+
+       1              0              *       
+       0              1              *       
+       0              0              1       
+
+  Columns 4 through 5
+
+      21/8           -7/4     
+      11/4           -9/2     
+      25/8          -19/4     
+
+rref(A)
+
+ans =
+
+  Columns 1 through 3
+
+       1              0              0       
+       0              1              0       
+       0              0              1       
+
+  Columns 4 through 5
+
+      21/8           -7/4     
+      11/4           -9/2     
+      25/8          -19/4     
+
+rref3=a
+
+rref3 =
+
+  Columns 1 through 3
+
+       1              0              *       
+       0              1              *       
+       0              0              1       
+
+  Columns 4 through 5
+
+      21/8           -7/4     
+      11/4           -9/2     
+      25/8          -19/4     
+
+rref3a=a
+
+rref3a =
+
+  Columns 1 through 3
+
+       1              0              *       
+       0              1              *       
+       0              0              1       
+
+  Columns 4 through 5
+
+      21/8           -7/4     
+      11/4           -9/2     
+      25/8          -19/4     
+
+delete rref3
+[Warning: File 'rref3' not found.] 
+remove rref3
+{Undefined function 'remove' for input arguments of
+type 'char'.
+} 
+a=[2 3 -4 4; 8 11 -7 8; 2 2 -4 -3]
+
+a =
+
+  Columns 1 through 3
+
+       2              3             -4       
+       8             11             -7       
+       2              2             -4       
+
+  Column 4
+
+       4       
+       8       
+      -3       
+
+A=a
+
+A =
+
+  Columns 1 through 3
+
+       2              3             -4       
+       8             11             -7       
+       2              2             -4       
+
+  Column 4
+
+       4       
+       8       
+      -3       
+
+rref(A)
+
+ans =
+
+  Columns 1 through 3
+
+       1              0              0       
+       0              1              0       
+       0              0              1       
+
+  Column 4
+
+    -157/18    
+       7       
+      -1/9     
+
+a
+
+a =
+
+  Columns 1 through 3
+
+       2              3             -4       
+       8             11             -7       
+       2              2             -4       
+
+  Column 4
+
+       4       
+       8       
+      -3       
+
+a(1,:)=a(1,:)/2
+
+a =
+
+  Columns 1 through 3
+
+       1              3/2           -2       
+       8             11             -7       
+       2              2             -4       
+
+  Column 4
+
+       2       
+       8       
+      -3       
+
+a(2,:)=a(2,:)-8*a(1,:)
+
+a =
+
+  Columns 1 through 3
+
+       1              3/2           -2       
+       0             -1              9       
+       2              2             -4       
+
+  Column 4
+
+       2       
+      -8       
+      -3       
+
+a(3,:)=a(3,:)-2*a(1,:)
+
+a =
+
+  Columns 1 through 3
+
+       1              3/2           -2       
+       0             -1              9       
+       0             -1              0       
+
+  Column 4
+
+       2       
+      -8       
+      -7       
+
+a(2,:)=a(2,:)/-1
+
+a =
+
+  Columns 1 through 3
+
+       1              3/2           -2       
+       0              1             -9       
+       0             -1              0       
+
+  Column 4
+
+       2       
+       8       
+      -7       
+
+a(3,:)=a(3,:)+1*a(2,:)
+
+a =
+
+  Columns 1 through 3
+
+       1              3/2           -2       
+       0              1             -9       
+       0              0             -9       
+
+  Column 4
+
+       2       
+       8       
+       1       
+
+a(3,:)=a(3,:)/-9
+
+a =
+
+  Columns 1 through 3
+
+       1              3/2           -2       
+       0              1             -9       
+       0              0              1       
+
+  Column 4
+
+       2       
+       8       
+      -1/9     
+
+a(1,:)=a(1,:)-(3/2)*a(2,:)
+
+a =
+
+  Columns 1 through 3
+
+       1              0             23/2     
+       0              1             -9       
+       0              0              1       
+
+  Column 4
+
+     -10       
+       8       
+      -1/9     
+
+a(2,:)=a(2,:)+9*a(3,:)
+
+a =
+
+  Columns 1 through 3
+
+       1              0             23/2     
+       0              1              0       
+       0              0              1       
+
+  Column 4
+
+     -10       
+       7       
+      -1/9     
+
+a(1,:)=a(1,:)-(23/2)*a(3,:)
+
+a =
+
+  Columns 1 through 3
+
+       1              0              0       
+       0              1              0       
+       0              0              1       
+
+  Column 4
+
+    -157/18    
+       7       
+      -1/9     
+
+rref3b=a
+
+rref3b =
+
+  Columns 1 through 3
+
+       1              0              0       
+       0              1              0       
+       0              0              1       
+
+  Column 4
+
+    -157/18    
+       7       
+      -1/9     
+
+diary off