# Matrix Transpose

The transpose of a matrix is an operator which flips a matrix over its diagonal; that is, it switches the row and column indices of the matrix A by producing another matrix, often denoted by Aᵀ

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Created: 2011-03-28 13:36:04, Last updated: 2021-09-30 09:23:03

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The matrix transpose is the matrix obtained by replacing all elements $a_{ij}$ with $a_{ji}$ or, which is the same, by exchanging A's rows and columns, or flipping A over its diagonal. The matrix transpose is often written as $A^T$

#### Matrix Transpose

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Transpose

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PLANETCALC, Matrix Transpose