Nth Power of a Matrix - Maple Programming Help

Home : Support : Online Help : Tasks : Linear Algebra : Matrix Manipulations : Task/MatrixExponentiation

Nth Power of a Matrix

 Description Calculate the nth power of a matrix.

Enter a matrix.

 > $\left[\begin{array}{ccc}{3}& {2}& {-}{4}\\ {0}& {-}{1}& {1}\\ {1}& {0}& {2}\end{array}\right]$
 $\left[\begin{array}{rrr}{3}& {2}& {-}{4}\\ {0}& {-}{1}& {1}\\ {1}& {0}& {2}\end{array}\right]$ (1)

Specify the exponent, and then calculate the specified power of the matrix.

 > ${{3}}^{}$
 $\left[\begin{array}{rrr}{-}{3}& {6}& {-}{52}\\ {4}& {1}& {-}{1}\\ {15}& {8}& {-}{18}\end{array}\right]$ (2)
 Commands Used