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//Eg-5.1
//pg-213
clear
clc
A=[1 -1 4;3 2 -1;2 1 -1];
d=spec(A);
//eigen equation
printf('the eigen equation is(L-%f)(L-(%f))(L-%f)=0',d(1),d(2),d(3));
//eigen values
disp(d)
//Verification
e=diag(A);
f=det(A);
if sum(e)==sum(d)&prod(d)==f then
disp("verification done")
end
//Eigen Vectors
[v,d]=spec(A);
disp("eigen vectors corresponding to each eigenvalue are are columns of the following matrix")
disp(v)
printf('\n\nThe eigen vectors are different because each set of equations have infinite solutions and the ones given in the text book are just one of them.\n')
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