diff options
Diffstat (limited to 'OLD/math2373/lab2.txt')
| -rw-r--r-- | OLD/math2373/lab2.txt | 1024 |
1 files changed, 0 insertions, 1024 deletions
diff --git a/OLD/math2373/lab2.txt b/OLD/math2373/lab2.txt deleted file mode 100644 index 689a36b..0000000 --- a/OLD/math2373/lab2.txt +++ /dev/null @@ -1,1024 +0,0 @@ -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 |