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LinearAlgebra[Modular][MatrixPower] - compute a power of a square mod m Matrix
Calling Sequence
MatrixPower(m, A, n)
Parameters
m
-
modulus
A
square mod m Matrix
n
nonnegative integer power
Description
The MatrixPower function efficiently computes the nth power of the input mod m Matrix via binary powering.
This command is part of the LinearAlgebra[Modular] package, so it can be used in the form MatrixPower(..) only after executing the command with(LinearAlgebra[Modular]). However, it can always be used in the form LinearAlgebra[Modular][MatrixPower](..).
Examples
Compute A^0 (identity)
Compute A^1
Compute A^20 (diagonal = 2^20 mod 13 = 9)
See Also
LinearAlgebra/Details, LinearAlgebra[Modular], LinearAlgebra[Modular][Create], LinearAlgebra[Modular][Mod]
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