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Define a symmetric matrix. Prove that...

Define a symmetric matrix. Prove that for `A=[2 4 5 6]` , `A+A^T` is a symmetric matrix where `A^T` is the transpose of `Adot`

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A square matrix A is known as symmetric matrix when `A=A^T`
Given: `A=[(2, 4),( 5, 6)]`
`A+A^T =[(2, 4),( 5, 6)]+[(2, 5),( 4, 6)]`
`A+A^T =[(2+2,4+5),(5+4,6+6)]`
`A+A^T =[(4,9),(9,12)].....(i)`
`(A+A^T)^T =[(4,9),(9,12)]^T`
`(A+A^T)^T =[(4,9),(9,12)]....(ii)`
From (i) and (ii) we get
...
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