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## Homework Statement

Show that for a square matrix the (i,j) entry is equlivant to the (j,i) entry in a symmetric matrix.

## Homework Equations

## The Attempt at a Solution

I just felt this question was weird. They don't give the answers so I'm looking for confirmation.

I guess you could just do

## A = n## x ## n ##

If symmetric

## A = A^T ##

Consider the defination of A, then, ##( n ## x ## n)^T = n ## x ## n ##

Implies (i,j) = (j,i)

I don't know maybe this way?