Exercise MM.C33 Chris Black

For the matrix $A = \begin{bmatrix} 0 & 1 & 2 \\ 0 & 0 & 1 \\ 0 & 0 & 0 \end{bmatrix}$, find $A^2$, $A^3$, $A^4$. Find a general formula for $A^n$ for any positive integer $n$.

Solution