Hi everyone, I have two matrices A and B, A=[0 0 1 0; 0 0 0 1; a b a b; c d c d] and B=[0 0 0 0; 0 0 0 0; 0 0 a b; 0 0 c d]. I have to proves theoretically that two of the eigenvalues of A and B are equal and remaining two eigenvalues of A are 1,1. I tried it by calculating the determinant of A and B and I got close to the result but I am not able to prove it completely. I got result like this, sum of roots of determinant of A and B as p+q+r+s=p1+q1 (p,q,r,s are roots of det of A, p1,q1 are roots of det of B) Product of roots p*q*r*s=p1*q1 pqr+qrs+prs+pqs=-2(p1*q1). Please help me to show that two eigenvalues of A and B are equal. Thanks.