Difference between revisions of "Similar matrices"
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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. | 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. | ||
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Revision as of 19:19, July 13, 2016
Similar matrices are those for which a third matrix, S, exists such that:
- B = S-1AS
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.