From 142ef4adf53a08719cf3f80048fb4a09fa78fdbc Mon Sep 17 00:00:00 2001 From: Matthew Strapp Date: Mon, 16 Sep 2019 12:53:13 -0500 Subject: Finish lab --- math2373/lab2.txt | 664 ++++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 664 insertions(+) diff --git a/math2373/lab2.txt b/math2373/lab2.txt index ed40ff4..dbd27c5 100644 --- a/math2373/lab2.txt +++ b/math2373/lab2.txt @@ -416,3 +416,667 @@ ans = 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 -- cgit v1.2.3