If `A=[3 5 7 9]` is written as `A=P+Q` , where `P` is symmetric and `Q` is skew-symmetric matrix, then write the matrix `P` .

Explanation

Given: `A=[(3, 5),( 7, 9)]`
is written as `A=P+Q`

And also given that P is symmetric matrix and Q is skew symmetric matrix.

Then `implies P=1/2(A+A^T)` and `Q=1/2(A-A^T)`

Now as `A=[(3, 5),( 7, 9)]`

Then

`A^T=[(3, 7),( 5, 9)]`

`implies P=1/2([(3, 5),( 7, 9)]+[(3, 7),( 5, 9)])`

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