Given a complex matrix A as follows: 3- A = [34₁ ³79 l3 + i 1 Define: a. Is A Hermitian matrix? b. Is matrix A unitary? c. The characteristic value of matrix A?

Consider the matrices below. X=[1201],Y=[1032],Z=[3412],W=[3241] Find scalars a,b, and c such that W=aX+bY+cZ. Show that there do not exist scalars a and b such that Z=aX+bY. Show that if aX+bY+cZ=0, then a=b=c=0.

Let A and B be square matrices of order n over Prove or disprove that the product AB is a diagonal matrix of order n over if B is a diagonal matrix.