(b) Let M be a 4 x 4 symmetric matrix whose row space, RS(M), is the subspace of R* given by RS(M) = E R+ $1 - 12 = 0, 12 - 13 =0 and x3 - 14 = 0 (i) Express /(M), the null space of M, as the linear span of a suitable set of vectors in R4. (ii) Express CS(M), the column space of M, as the linear span of a suitable set of vectors in (ii) Find the most general matrix M whose null space and column space are those found in parts (i) and (ii). (iv) Given the additional information that A = 8 is one of the eigenvalues of M, find all the eigenvalues of M and state the geometric multiplicity of each eigenvalue, explaining your answer. (v) Hence find the numerical entries of M