Let f R n R m be a linear map Show how to compute the (unique) matrix A such that f(x) Ax for every x R n , in terms of the values of f at appropriate vectors, which you will determine

Question: Let f : R n R m be a linear map. Show how to compute the (unique) matrix A such that f(x) = Ax

Let f : Rⁿ → R^mbe a linear map. Show how to compute the (unique) matrix A such that f(x) = Ax for every x ∈ Rⁿ, in terms of the values of f at appropriate vectors, which you will determine.

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