Question: How do I compute the linear algebra with maple?

Consider the matrix

A =

[ -2 -1 ]

[9/5 4/5]

Compute A^10, A^20, A^30, A^40, and A^50 and based on the answers, determine lim of A^k as k approaches infinity (k -> infinity).

How do I solve this using  Maple?

Thank you

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