Question

prove that (ABC)ᵗ = Bᵗ Cᵗ Aᵗ Given A | 2/4 1/2|, B =|3/1 0/5|, C=|1/2 2/3| (this is a matrix)​

Answer 1

Answer:

The new matrix obtained by interchanging the rows and columns of the original matrix is called as the transpose of the matrix. If A = [aij] be an m × n matrix, then the matrix obtained by interchanging the rows and columns of A would be the transpose of A. of It is denoted by A′or (AT). In other words, if A = [aij]mxn ,thenA′ = [aji]nxm . For example,

A=⎡⎣⎢349−57/25/8⎤⎦⎥A′=[3−547/295/8]

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Explanation:

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