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math

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hi! Im having trouble with this question about matrices

the matrix X =
(4 2)
(2 4)
X to the power of two =
2 (10 8 ) or
...(8 10)
4(5 4)
..(4 5)
X to the power of three =
2 (56 52)
...(52 56)
or 8 (14 13)
.......(13 14)
and so on...

I have to figure out an "pattern" so i can have a general formula for the scalar (which ive figured out) and the elements within the matrix.. which i cant seem to find... it has something to do with 3 to the power of n. Ive tried lots of combinations but none of them seem to fit.

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