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Wikipedia definition
1. Orthogonal matrix​In linear algebra, an orthogonal matrix is a square matrix with real entries whose columns and rows are orthogonal unit vectors. Equivalently, a matrix Q is orthogonal if its transpose is equal to its inverse: which entails where I is the identity matrix. An orthogonal matrix Q is necessarily invertible (with inverse {{{1}}}), unitary ({{{1}}}), and normal ({{{1}}}).
Read “Orthogonal matrix” on English Wikipedia
Read “直交行列” on Japanese Wikipedia
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