Please refer to the question below. Note: This is all that the question comes with!

Question 3 (There are 4 parts). Recall that a square matrix A is (1) symmetric if A = A, and (2) skew-symmetric if A = -A. What are the dimensions of the following vector spaces? Justify your answers. a, 1pt) The space S, of all 3 x 3 symmetric matrices? b, 1pt) The space T, of all 3 x 3 skew-symmetric matrices?c, 1pt) The space SnT? d, 1pt) The space S + 7"? What familiar vector space is this