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Concept of Transpose of a Matrix

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definition

If A = `[a_(ij)]` be an m × n matrix, then the matrix obtained by interchanging the rows and columns of A is called the transpose of A. Transpose of the matrix A is denoted by A′ or `(A^T)`. In other words, if A = `[a_(ij)]_(m × n)`, then A′ = `[a_(ji)]_(n × m)`.

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Shaalaa.com | Matrices part 27 (Transpose)

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Matrices part 27 (Transpose) [00:13:50]
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