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6.48.6 Powers of a square matrix: matpow

The matpow command finds the power of a square matrix, computed using the Jordan form.


Example.
Input:

matpow([[1,2],[2,1]],n)

Output:

⎡
⎢
⎢
⎢
⎢
⎢
⎢
⎢
⎣
3n+⎛
⎝
−1⎞
⎠
n
2
3n−⎛
⎝
−1⎞
⎠
n
2
3n−⎛
⎝
−1⎞
⎠
n
2
3n+⎛
⎝
−1⎞
⎠
n
2
⎤
⎥
⎥
⎥
⎥
⎥
⎥
⎥
⎦


Notice that jordan([[1,2],[2,1]]) returns

⎡
⎢
⎣
1−1
11
⎤
⎥
⎦
,⎡
⎢
⎣
30
0−1
⎤
⎥
⎦

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