A square matrix is congruent to its transpose (Q1858246)
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scientific article; zbMATH DE number 1868057
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A square matrix is congruent to its transpose |
scientific article; zbMATH DE number 1868057 |
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A square matrix is congruent to its transpose (English)
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12 February 2003
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The \(n\times n\) matrices \(A\) and \(B\) with entries in a field \(K\) are called congruent if \(B=P'AP\) for some matrix \(P\in GL_n(K),\) where \(P'\) is the transpose of \(P.\) The authors show that any matrix \(A\) is congruent to its transpose \(A'.\)
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congruence of matrices
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bilinear forms
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sesquilinear forms
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Kronecker modules
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transpose matrix
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