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+//page 247

+//Example 7.7

+clc;

+clear;

+close;

+disp('A = ');

+disp('2   0   0   0');

+disp('1   2   0   0');

+disp('0   0   2   0');

+disp('0   0   a   2');

+disp('Considering a = 1');

+A = [2 0 0 0;1 2 0 0;0 0 2 0;0 0 1 2];

+p = poly(A,"x");

+disp('Characteristic polynomial for A is:');

+disp(p,'p = ');

+disp('or');

+disp('(x-2)^4');

+disp('Minimal polynomial for A =');

+disp('(x-2)^2');

+disp('For a = 0 and a = 1, characteristic and minimal polynomial are same.');

+disp('But for a=0, the solution space of (A - 2I) has 3 dimension whereas for a = 1, it has 2 dimension. ')

+//end