## Calculate $A^{10}$ for a Given Matrix $A$

## Problem 41

Find $A^{10}$, where $A=\begin{bmatrix}

4 & 3 & 0 & 0 \\

3 &-4 & 0 & 0 \\

0 & 0 & 1 & 1 \\

0 & 0 & 1 & 1

\end{bmatrix}$.

(*Harvard University Exam*)

Find $A^{10}$, where $A=\begin{bmatrix}

4 & 3 & 0 & 0 \\

3 &-4 & 0 & 0 \\

0 & 0 & 1 & 1 \\

0 & 0 & 1 & 1

\end{bmatrix}$.

(*Harvard University Exam*)