Let A be an m n matrix. Show that if A has linearly independent column vectors, then

Chapter 3, Problem 16

(choose chapter or problem)

Let A be an m n matrix. Show that if A has linearly independent column vectors, then N(A) = {0}. [Hint: For any x Rn, Ax = x1a1 + x2a2 + + xnan.] 1

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