matrix-powers

Let $A$ be a $2 \times 2$ matrix as given. $$A=\left[\begin{array}{cc} 1 & 1 \\ 1 & -1 \end{array}\right]$$ What are the eigenvalues of the matrix $A^{13}$ ?

Let $L, M$, and $N$ be non-singular matrices of order 3 satisfying the equations $L^2=L^{-1}, M=L^8$ and $N=L^2$. Which ONE of the following is the value of the determinant of $(M-...

Which of the properties hold for the adjacency matrix A of a simple undirected unweighted graph having n vertices?