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.
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