# For the matrix A = (2,3),(5,7), find (A + A') and verify that it is a symmetric matrix. - Mathematics

Sum

For the matrix A = [(2,3),(5,7)], find (A + A') and verify that it is a symmetric matrix.

#### Solution

"A" = [(2,3),(5,7)]

"A+A"\prime = [(2,3),(5,7)] + [(2,5),(3,7)] = [(4,8),(8,14)]

("A+A"\prime)""^\prime= [(4,8),(8,14)] = ("A+A"\prime)

Thus, ("A + A"\prime) is a symmetric matrix.

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