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 matrix A the matrix B = SAT, where S and T are nonsingular matrices, and T is the transpose of S ; if A represents the coefficients of a quadratic form, then this definition is equivalent to definition 1.

单词	congruence transformation
释义	congruence transformation 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 matrix A the matrix B = SAT, where S and T are nonsingular matrices, and T is the transpose of S ; if A represents the coefficients of a quadratic form, then this definition is equivalent to definition 1.
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