Find the dimensions of the following vector spaces.(a) The vector space of all diagonal 3 x 3 matrices(b) The vector space R6(c) The vector space of all upper triangular 2 x 2 matrices(d) The vector space P?[x] of polynomials with degree less than 4(e) The vector space R²(f) The vector space of 3 x 3 matrices with trace 0