Consider the matrix M = 2 3 32 (A) (1 point) Are the columns of M a basis of R? Provide an explanation to support your answer. (B) (1 point) Do the columns of A span R2? Provide an explanation to support your answer. (C) (1 point) How many vectors are in Nul A? Provide an explanation to support your answer. (D) (1 point) Find A = MMT and show that it is symmetric. Show your work step-by-step. (E) (1 point) Find the LU factorization of A. Show your work step-by-step. (F) (1 point) Find B = MTM and show that it is symmetric. Show; your work step-by-step.