14. In the list below, which classes of matrices contain $A$ and which contain $B$?
$$ A = \begin{bmatrix} 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \\ 1 & 0 & 0 & 0 \\ \end{bmatrix} \ \ \ \textrm{and}\ \ \ B = \frac14\begin{bmatrix} 1 & 1 & 1 & 1 \\ 1 & 1 & 1 & 1 \\ 1 & 1 & 1 & 1 \\ 1 & 1 & 1 & 1 \\ \end{bmatrix} $$ Orthogonal, invertible, projection, permutation, Hermitian, rank-$1$, diagonalizable, Markov. Find the eigenvalues of $A$ and $B$.
I am pretty confused about classes; I don't know what it means, so I can't really do part A and I need your help with it?
For part B, I got all eigenvalues are $1$ for matrix $A$, and $0$ for matrix $B$. Is this what you get?
Thanks.