Consider the following functions: f1(x) = sin (x1) cos(x2) , x ∈ R 2 f2(x, y) = x ⊤ y, x, y ∈ R n f3(x) = xx⊤ , x ∈ R n (a) What are the dimensions of d fi/dx? (b) Compute the Jacobians.

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