. In the problems below (just as in the lecture), the four subspaces associated to a matrix are the column space, the nullspace (or Kernel), the row space, and the left nullspace. Answer the following: (a) If a 3 × 4 matrix has rank 3, what are the dimensions of the four subspaces? (b) If a 7 × 9 matrix has rank 5, what are the dimensions of the four subspaces?

Step-by-step explanation:

. In the problems below (just as in the lecture), the four subspaces associated to a matrix are the column space, the nullspace (or Kernel), the row space, and the left nullspace. Answer the following: (a) If a 3 × 4 matrix has rank 3, what are the dimensions of the four subspaces? (b) If a 7 × 9 matrix has rank 5, what are the dimensions of the four subspaces?