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| -rw-r--r-- | math2373/lab8.txt | 148 |
1 files changed, 148 insertions, 0 deletions
diff --git a/math2373/lab8.txt b/math2373/lab8.txt new file mode 100644 index 0000000..baa88c9 --- /dev/null +++ b/math2373/lab8.txt @@ -0,0 +1,148 @@ +diary off +diary off +A=[4 -3; -7 8] + +A = + + 4 -3 + -7 8 + +[P,D]=eig(A) + +P = + + -0.7071 0.3939 + -0.7071 -0.9191 + + +D = + + 1 0 + 0 11 + +c=inv(P)*[10;-5] + +c = + + -7.7782 + 11.4237 + +R=[c(1) 0 0; 0 c(2) 0], E=P*R + +R = + + -7.7782 0 0 + 0 11.4237 0 + + +E = + + 5.5000 4.5000 0 + 5.5000 -10.5000 0 + +R=[c(1) 0; 0 c(2)], E=P*R + +R = + + -7.7782 0 + 0 11.4237 + + +E = + + 5.5000 4.5000 + 5.5000 -10.5000 + +A=[12 -7 4;6 -1 1;-12 12 -7]; +[P,D]=eig(A) + +P = + + 0.2024 0.7071 0.2617 + -0.1215 0.7071 0.7328 + -0.9717 0.0000 0.6281 + + +D = + + -3.0000 0 0 + 0 5.0000 0 + 0 0 2.0000 + +c= inv(P)*[10;20;25] + +c = + + -21.6109 + 17.9723 + 6.3683 + +c= inv(P)*[-10;20;25] + +c = + + 27.7855 + -52.7384 + 82.7882 + +R=[c(1) 0 0; 0 c(2) 0; 0 0 c(3)], E=P*R + +R = + + 27.7855 0 0 + 0 -52.7384 0 + 0 0 82.7882 + + +E = + + 5.6250 -37.2917 21.6667 + -3.3750 -37.2917 60.6667 + -27.0000 -0.0000 52.0000 + +clear +A=[0 0 1 0; 0 0 0 1; 25 18 0 0; 12 40 0 0]; +[P,D]=eig(A) + +P = + + 0.0849 0.2169 0.0849 0.2169 + 0.1131 -0.1085 0.1131 -0.1085 + 0.5940 0.8677 -0.5940 -0.8677 + 0.7920 -0.4339 -0.7920 0.4339 + + +D = + + 7.0000 0 0 0 + 0 4.0000 0 0 + 0 0 -7.0000 0 + 0 0 0 -4.0000 + +c= inv(P)*[23;16;69;0] + +c = + + 104.2294 + 47.3549 + 72.5473 + -10.4768 + +R=[c(1) 0 0 0; 0 c(2) 0 0; 0 0 c(3) 0; 0 0 0 c(4)], E=P*R + +R = + + 104.2294 0 0 0 + 0 47.3549 0 0 + 0 0 72.5473 0 + 0 0 0 -10.4768 + + +E = + + 8.8442 10.2727 6.1558 -2.2727 + 11.7922 -5.1364 8.2078 1.1364 + 61.9091 41.0909 -43.0909 9.0909 + 82.5455 -20.5455 -57.4545 -4.5455 + +diary of |