Let A be an 8 5 matrix of rank 3, and let b be a nonzero vector in N(AT ). (a) Show that

Chapter 5, Problem 10

(choose chapter or problem)

Let A be an 8 5 matrix of rank 3, and let b be a nonzero vector in N(AT ). (a) Show that the system Ax = b must be inconsistent. (b) How many least squares solutions will the system Ax = b have? Explain. 1

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