the transpose of an orthagonal matrix is
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The transpose of the orthogonal matrix is also orthogonal. Thus, if matrix A is orthogonal, then is AT is also an orthogonal matrix. In the same way, the inverse of the orthogonal matrix, which is A-1 is also an orthogonal matrix. The determinant of the orthogonal matrix has a value of ±1.
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The transpose of an orthogonal matrix is orthogonal.The product of two orthogonal matrices (of the same size) is orthogonal.
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