2. [2 pts each] il 0 2 0 (a) Let A = 1-1 1 and B = 5 0 . Are A and B similar? 2 0 1 4 k (b) Let A = 0 O Find all values of k for which A is diagonalizable. O OWhen two matrices are similar with complex entries, it means that they can be transformed into each other through a complex invertible matrix. More formally, two complex matrices A and B are said to be similar if there exists a complex invertible matrix P such that: B = P-1AP Here, P-1 denotes the inverse of the matrix P. In this case, the eigenvalues and eigenvectors of the two matrices are the same. This is because if v is an eigenvector of A with eigenvalue A, then P-1v is an eigenvector of B with the same eigenvalue A. It's worth noting that not all matrices with complex entries are similar, even if they have the same eigenvalues. For example, the matrices