Another one. The M n,n is a vector space, and that Snn( the set of n x n symmetric matrices) is a subspace

Find a basis for the space of all 2 x 2 symmetric matrices.

B)Find a basis for the space of all 3 x 3 symmetric matrices

C) Determine the dimensions of the space of n x n symmetric (Hint: this essentially a counting argument.From examining the bases in the first two parts determine what goes into the basis required.