123 2 4 6 subspaces of A by solving the problems below. Problem 1. Consider the matrix A = [ ]. We are going to nd the four fundamental (a) Find the column space of A (Col A) and write it as span of vectors. (b) Determine the geometry (line, plane or volume) that Col A spans. Also, state which space Col A is a subspace of (in other words, state which space [Rm the column space resides in; m is a real number). (c) Find the null space of A (Nul A) and write it as span of vectors. (d) Determine the geometry (line, plane or volume) that Nul A spans. Also, state which space Nul A is a subspace of (which space the column space resides in). (e) Find the row space of A (Row A) and write it as span of vectors. (f) Determine the geometry (line, plane or volume) that Row A spans. Also, state which space Row A is a subspace of (which space the column space resides in). (g) Find the left null space of A (Nul AT) and write it as span of vectors. (AT, also denoted as AT, is the transpose of A.) (h) Determine the geometry (line, plane or volume) that Nul AT spans. Also, state which space Nul AT is a subspace of (which space the column space resides in)