calculate with matrix

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Hello guys can someone help me with that please ? And thanks for that

$A = \begin{bmatrix} 1 & 1 & 1 \\ 0 & 1 & 1 \\ 0 & 0 & 1 \end{bmatrix}, \tag 1$

and we have

$B = A − I. \tag 2$

Calculate $B^n$ for $n ∈ N$ and deduct from that the expression of $A^n$.