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congruence transformation |
Also found in: Wikipedia | 0.02 sec. |
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congruence transformation [kən′grü·əns ‚tranz·fər‚mā·shən] (mathematics) Also known as transformation. A mapping which associates with each real quadratic form on a set of coordinates the quadratic form that results when the coordinates are subjected to a linear transformation. A mapping which associates with each square matrixAthe matrixB=SAT, whereSandTare nonsingular matrices, andTis the transpose ofS; ifArepresents the coefficients of a quadratic form, then this definition is equivalent to definition 1. How to thank TFD for its existence? Tell a friend about us, add a link to this page, add the site to iGoogle, or visit webmaster's page for free fun content. |
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