Let A be an m n matrix with m > n. Let b Rm and
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(a) What can you conclude about the column vectors of A? Are they linearly independent? Do they span Rm? Explain.
(b) How many solutions will the system Ax = b have if b is not in the column space of A? How many solutions will there be if b is in the column space of A? Explain.
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a Since NA 0 Ax x 1 a 1 x n a n 0 has only the trivial solut...View the full answer
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