Question: Suppose A is an m n matrix. (a) Let v1,..., vn be a basis of Rn, and Av1 = w1 Rm, for i

Suppose A is an m × n matrix.
(a) Let v1,..., vn be a basis of Rn, and Av1 = w1 ∈ Rm, for i = 1........n. Prove that the vectors v1,..., vn, w1,..., wn, serve to uniquely specify A.
(b) Write down a formula for A.

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