If `A=[(1, 2),( 0, 3)]` is written as `B+C` , where `B` is a symmetric matrix and `C` is a skew-symmetric matrix, then find `B`

Explanation

We know that,

`A=frac{1}{2}(A+A^T)+frac{1}{2}(A-A^T)`

`B=frac{1}{2}(A+A^T)`

`C=frac{1}{2}(A-A^T)`

Given that,

`A=[(1, 2),( 0, 3)]`

`A^T=[(1, 0),( 2, 3)]`

`A+A^T=[(1, 2),( 0, 3)]+[(1, 0),( 2, 3)]=[(1+1, 2+0),( 0+2, 3+3)]`

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