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## Homework Statement

Find the nth power of the matrix A,

|1 1|

|0 0|

## Homework Equations

## The Attempt at a Solution

My guess is the A^n = PD^nP^-1 formula. But my prof says not use to eigenvalues and eigenvectors. Is it possible to solve this without using the formula A^n = PD^nP^-1 ???