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## Homework Statement

If I have a matrix M, say

30 5

20 16

How do I calculate M[tex]^{1870}[/tex] mod 101 using Euler's Theorem.

## Homework Equations

I have so far worked out M [tex]^{2}[/tex] mod 101 to be

91 28

11 53

and thought I could use this as 2x935=1870

## The Attempt at a Solution

I can only find Euler's theorem with respect to numbers, rather than matrices. Can anybody point me in the right direction?

Thanks