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Similar matrices (view source)

Revision as of 15:06, May 9, 2010

332 bytes added ,  15:06, May 9, 2010
a start, improvements welcome
'''Similar matrices''' are those for which a third matrix, ''S'', exists such that:

:''B'' = ''S<sup>-1</sup>AS''

When two matrices are similar (''A'' and ''B'' here), then they must have the same [[eigenvalues]]. This facilitated representation of the matrices with eigenvalues along their diagonals.
[[Category:linear algebra]]
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