Matrix Power

The power A^n of a matrix A for n a nonnegative integer is defined as the matrix product of n copies of A,


A matrix to the zeroth power is defined to be the identity matrix of the same dimensions, A^0=I. The matrix inverse is commonly denoted A^(-1), which should not be interpreted to mean 1/A.

See also

k-Matrix, Matrix Cube Root, Matrix Exponential, Matrix Multiplication, Matrix Polynomial, Matrix Root, Matrix Square Root, Nilpotent Matrix, Periodic Matrix

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Cite this as:

Weisstein, Eric W. "Matrix Power." From MathWorld--A Wolfram Web Resource.

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