Matrices - Operations TRANSPOSE OF A MATRIX If :

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Presentation transcript:

Matrices - Operations TRANSPOSE OF A MATRIX If : Then the transpose of A, denoted by AT is : for all i and j

Matrices - Operations To transpose a matrix A : Interchange rows and columns of A. The dimensions of AT are the reverse of the dimension of A If the dimension of A is (mxn) then the dimension of AT is (nxm).

Matrices - Operations Properties of transposed matrices: (A+B)T = AT + BT (AB)T = BT AT (kA)T = kAT (AT)T = A

Matrices - Operations (A+B)T = AT + BT

Matrices - Operations (AB)T = BT AT