diff options
| 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/EX7.19/q19.sce | |
| parent | b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b (diff) | |
| download | Scilab-TBC-Uploads-7f60ea012dd2524dae921a2a35adbf7ef21f2bb6.tar.gz Scilab-TBC-Uploads-7f60ea012dd2524dae921a2a35adbf7ef21f2bb6.tar.bz2 Scilab-TBC-Uploads-7f60ea012dd2524dae921a2a35adbf7ef21f2bb6.zip | |
initial commit / add all books
Diffstat (limited to '1499/CH7/EX7.19/q19.sce')
| -rw-r--r-- | 1499/CH7/EX7.19/q19.sce | 43 |
1 files changed, 43 insertions, 0 deletions
diff --git a/1499/CH7/EX7.19/q19.sce b/1499/CH7/EX7.19/q19.sce new file mode 100644 index 000000000..75985e2a7 --- /dev/null +++ b/1499/CH7/EX7.19/q19.sce @@ -0,0 +1,43 @@ +syms m11 m12 m13 m21 m22 m23 m31 m32 m33 ^ t m
+s=%s;
+poly(0,"l");
+A=[0 1 0;3 0 2;-12 -7 -6]
+B=[1;0;2]
+C=[1 0 0]
+[r c]=size(A)
+I=eye(r,c);
+p=l*I-A;
+q=det(p); // determinant of li-p
+// roots of q are
+l1=-1;
+l2=-2;
+l3=-3;
+x1=[m11;m21;m31];
+q1=(l1*I-A)*1
+
+//on solving
+m11=1;
+m21=-1;
+m31=-1;
+x2=[m12;m22;m32];
+q2=(l2*I-A)*1
+//on solving;
+m12=2;
+m22=-4;
+m32=1;
+
+x3=[m13;m23;m33];
+q3=(l3*I-A)*1
+//on solving
+m13=1;
+m23=-3;
+m33=3;
+
+// modal matrix is
+M=[m11 m12 m13;m21 m22 m23;m31 m32 m33]
+
+
+q=inv(M)
+A1=real(q*A*M)
+B1=(q*B)
+C1=C*M
|