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Diffstat (limited to '3293/CH7/EX7.6')
-rwxr-xr-x | 3293/CH7/EX7.6/Ex7_6.sce | 37 |
1 files changed, 37 insertions, 0 deletions
diff --git a/3293/CH7/EX7.6/Ex7_6.sce b/3293/CH7/EX7.6/Ex7_6.sce new file mode 100755 index 000000000..67e92061b --- /dev/null +++ b/3293/CH7/EX7.6/Ex7_6.sce @@ -0,0 +1,37 @@ +//page 247
+//Example 7.6
+clc;
+clear;
+close;
+disp('A = ');
+disp('2 0 0');
+disp('a 2 0');
+disp('b c -1');
+a = 1;
+b = 0;
+c = 0;
+A = [2 0 0;a 2 0;b c -1];
+disp(A,'A = ');
+disp('Characteristic polynomial for A is:');
+disp(poly(A,"x"),'p = ');
+disp('In this case, minimal polynomial is same as characteristic polynomial.');
+disp('-----------------------------------------');
+a = 0;
+b = 0;
+c = 0;
+A = [2 0 0;a 2 0;b c -1];
+disp(A,'A = ');
+disp('Characteristic polynomial for A is:');
+disp(poly(A,"x"),'p = ');
+disp('In this case, minimal polynomial is:');
+disp('(x-2)(x+1)');
+disp('or');
+x = poly(0,"x");
+s = (x-2)*(x+1);
+disp(s);
+disp('(A-2I)(A+I) = ');
+disp('0 0 0');
+disp('3a 0 0');
+disp('ac 0 0');
+disp('if a = 0, A is similar to diagonal matrix.')
+//end
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