Correct option is **(A) \(\frac1{5^3}+\frac1{5^6}-\frac1{5^9}\)**

Total no. of matrices of order 3 x 3 formed by using the elements of the set

A = {-2, -1, 0, 1, 2} = 5^{9}

**(\(\because\) There are total 9 elements in the matrix and each element have 5 choices)**

Total no. of symmetric matrices formed by Set A = {-2, -1, 0, 1, 2} = 5^{6}

Total no. of skew symmetric matrices formed by Set A = 5^{3}

Total no. of matrices which is both symmetric and skew symmetric formed by using elements of Set A = 1

**(\(\because\) only zero matrix is both symmetric & skew symmetric.)**

**\(\therefore\) **Total no. of matrices that is either symmetric or skew symmetric and formed by elements of Set A = Total no. of symmetric matrices + Total no. of skew symmetric matrices - Total no. of matrices which are both

= 5^{6} + 5^{3} - 1

\(\therefore\) required probability = \(\frac{5^6+5^3-1}{5^9}\) = \(\frac1{5^3}+\frac1{5^6}-\frac1{5^9}\)