- #1

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- 44

## Homework Statement

Same as title.

## Homework Equations

## The Attempt at a Solution

A defining property of a diagonal matrix is that ##A_{ij} = A_{ji} ~~\forall i,j \le n##. This means that ##((A)^{t})_{ji} = A_{ji}##. Therefore, we know that ##A^t = A##. This shows that a diagonal matrix is symmetric.

Is this an okay proof? Am I making too big of a leap in logic to start with ##A_{ij} = A_{ji} ~~\forall i,j \le n##? Or do I need to first prove that that statement is true for diagonal matrices?