Raise a machine-precision matrix to a positive integer power:

Raise it to a fractional power:

Square a complex matrix:

Raise an exact matrix to an integer power:

Raise it to a fractional power:

Raise an arbitrary-precision matrix to a negative integer power:

Raise it to an irrational power:

Raise a symbolic matrix to an integer power:

Raise a matrix to a symbolic power:

Raising large machine-precision matrices to a power is efficient:

Directly applying the power to a single vector is even more efficient:

Raise a matrix with finite field elements to an integer power:

Raise it to a negative power:

Raise a CenteredInterval matrix to an integer power:

Find a random representative mrep of m:

Verify that mpow contains MatrixPower[mrep,17]:

The result of raising a sparse matrix to a positive integer power is returned as a sparse matrix:

Format the result:

Raising a sparse matrix to a other powers will typically produce a normal matrix:

Directly apply the power of of a sparse matrix to a sparse vector:

Raising a structured array to a power will be returned as a structured array if possible:

This is not always possible:

IdentityMatrix raised to any power is itself:

More generally, the power of any diagonal matrix is the power of its diagonal elements:

Raise HilbertMatrix to a negative power:

Compute the power of a matrix of univariate polynomials of degree :