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-rw-r--r--math2373/lab8.txt148
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