Transpose of matrix A denoted by A’ or At. Transpose of A can be obtained by inter changing rows and columns of a matrix A. If A = [aij]mxn
then A’ = [aij]nxm
Properties of Transpose of a matrix
(i) (A’)’ = A
(ii) (A + B)’ = A’ + B’
(iii) (kA)’ = kA’   (Where k is a Scalar)
(iv) (AB)’ = B’A’

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