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Given: is symmetric

To find: values of a and b

Formula used:

A square matrix A is said to be symmetric if a_ij = a_ji for all i and j or the transpose of matrix A is equal to matrix A itself, i.e. A^T = A

∴ a₁₂ = a₂₁ and a₁₃ = a₃₁

Here, a₁₂ = 2b, a₂₁ = 3, a₁₃ = -2 and a₃₁ = 3a

⇒ 2b = 3 and 3a = -2

Hence, the values of a and b are and