Some Properties of Matrix Powers
Some properties of multiplication of a matrix by itself to form powers:
Suppose are matrices and are positive integers.
It does not matter in which order you multiply a matrix by itself to calculate one of its powers.
See the spreadsheet screen shot, below, showing various ways of calculating the fourth power of a matrix A.
Note that the third line shows that all methods of calculating the power yield the same result:
Download Microsoft Excel 2002 (2000-compatible) spreadsheet with the above examples: click here.
Copyright © 2002-2003 Crystal Sloan