Question: Suppose that v1,... ,vn form a basis for Rn. Let A be a nonsingular matrix. Prove that Av1........Avn also form a basis for Rn. What

Suppose that v1,... ,vn form a basis for Rn. Let A be a nonsingular matrix. Prove that Av1........Avn also form a basis for Rn. What is this basis if you start with the standard basis: vi = ei?

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