Let x1, . . . , xk be linearly independent vectors in Rn, and let A be a nonsingular nn
Chapter 3, Problem 17(choose chapter or problem)
Let x1, . . . , xk be linearly independent vectors in Rn, and let A be a nonsingular nn matrix. Define yi = Axi for i = 1, . . . , k. Show that y1, . . . , yk are linearly independent. 1
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