If A is a rectangular matrix with more columns than rows and for some r.h.s. b, we can find a particular solution of Ax = b, i.e., for some vector xp, we have Axp = b. How many solutions would Ax = b have? How can we describe all the solutions of Ax = b?

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If A is a rectangular matrix with more columns than rows and for some r.h.s. b,
we can find a particular solution of Ax = b, i.e., for some vector xp, we have
Axp = b. How many solutions would Ax = b have? How can we describe all the
solutions of Ax = b?

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