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| author | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
|---|---|---|
| committer | prashantsinalkar | 2017-10-10 12:27:19 +0530 |
| commit | 7f60ea012dd2524dae921a2a35adbf7ef21f2bb6 (patch) | |
| tree | dbb9e3ddb5fc829e7c5c7e6be99b2c4ba356132c /1499/CH7/EX7.6/q6.sce | |
| parent | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff) | |
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initial commit / add all books
Diffstat (limited to '1499/CH7/EX7.6/q6.sce')
| -rw-r--r-- | 1499/CH7/EX7.6/q6.sce | 24 |
1 files changed, 24 insertions, 0 deletions
diff --git a/1499/CH7/EX7.6/q6.sce b/1499/CH7/EX7.6/q6.sce new file mode 100644 index 000000000..4ac5b256f --- /dev/null +++ b/1499/CH7/EX7.6/q6.sce @@ -0,0 +1,24 @@ +syms m11 m12 m13 m21 m22 m23 m31 m32 m33 ^
+s=%s;
+poly(0,"l");
+A=[-3 1;1 -3]
+[r c]=size(A)
+I=eye(r,c);
+p=l*I-A;
+q=det(p); // determinant of li-p
+// roots of q are
+l1=-2;
+l2=-4;
+
+x1=[m11;m21];
+q1=(l1*I-A)*1
+// on solving we find m11=1 m21=1
+m11=1;
+m21=1;
+x2=[m12;m22];
+q2=(l2*I-A)*1
+// on solving we find m12=1 m22=-1
+m12=1;
+m22=-1;
+// modal matrix is
+M=[m11 m12;m21 m22;]
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