Understanding Matrix Powers: Explained for Linear Algebra Students

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Hey guys,
This is just a quick question.. I have a question on my linear algebra assignment that I don't understand..
What does it mean when you're given a 2x2 matrix M and told to "find formulas for the entries of M to the power of n, where n is a positive integer"
The assignment is about eigenvalues and eigenvectors, maybe that'll help..
Please explain to me what the question wants..
Thx,
Xeno
 
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Diagonalize your matrix..
 
That makes sense! thx
 

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