Using the last exercise as a guide, justify the following statement: Let v\, V2......

Chapter 2, Problem 77

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Using the last exercise as a guide, justify the following statement: Let v\, V2....... vm be vectors in Rw such that the matrixS = Vi V2Iis invertible. Let w\, u>2 Wm be arbitrary vectors in R. Then there exists a unique linear transformation T from Rm to R" such that T(vi) = wt, for all i = 1,..., m. Find the matrix A of this transformation in terms of S andB =I I U)\ w2

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