Q3 of 26 Page 1

Matrix is given to be symmetric, find values of a and b.

Given: is symmetric


To find: values of a and b


Formula used:


A square matrix A is said to be symmetric if aij = aji for all i and j or the transpose of matrix A is equal to matrix A itself, i.e. AT = 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


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