Matrix `A=[0 2b-2 3 1 3 3a3-1]` is given to be symmetric, find values of `a` and `b` .

Explanation

A matrix `A` will be symmetric if `A = A^T`

Here, `A = [[0,2b,-2],[3,1,3],[3a,3,-1]]`

`A^T = [[0,3,3a],[2b,1,3],[-2,3,-1]]`

As given matrix is symmetric,

`:. A = A^T`

`=> [[0,2b,-2],[3,1,3],[3a,3,-1]] = [[0,3,3a],[2b,1,3],[-2,3,-1]]`

`:. 2b = 3 and 3a = -2`

`=>b = 3/2 and a =-2/3`