Consider the matrix i 2 0 3 A = 0 0 0 0 2 4 0 1 The four fundamental subspaces of a matrix A are defined as follows: The column space of A is the space spanned by the columns of A. The nullspace of A is the space of all vectors x such that Ax = 0. The row space of A is the column space of AT. It is spanned by the rows of A. The left nullspace is the nullspace of AT. It contains all vectors y such that ATy = 0. = a) What is the rank of A? b) Find a basis for the nullspace of A, the column space of A, the row space of A and the left nullspace of A. c) Use the matrix command svd in Matlab to calculate bases for these subspaces. Verify that the results given by Matlab are equivalent to your results from (b)