Let A be a 6 4 matrix of rank 4. (a) What is the dimension of

Question:

Let A be a 6 × 4 matrix of rank 4.
(a) What is the dimension of N(A)? What is the dimension of the column space of A?
(b) Do the column vectors of A span R6 Are the column vectors of A linearly independent? Explain your answers.
(c) How many solutions will the linear system Ax = b have if b is in the column space of A? Explain.