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+//page 352

+//Example 9.1

+clc;

+clear;

+close;

+disp('A = ');

+disp('r    *     |cos(thetha)       -sin(thetha)|');

+disp('           |sin(thetha         cos(thetha)|');

+disp('Characteristic polynomial for T:');

+disp('p = det(xI - A)');

+disp('p = x - 2*r*cos(thetha*x) + r^2 ');

+disp('if, a = r*cos(thetha)');

+disp('b = r*sin(thetha)');

+disp('c = a + ib,   b is not equal to 0');

+disp('Then, A = ');

+disp('a     -b');

+disp('b      a');

+disp('p = (x-c)(x-c'')');

+disp('So, p is reducible over R and it is the minimal polynomial');

+//end