a. Let A be an p × k matrix, with columns a₁, A2, . ...,ak. Let x = (X1, X2, ... Xk) be a vector in Rk. Give the definition of the product of A and x denoted by Ax in terms of the column picture. Explain to which space the product belongs to. b. Let 2 4 36 A = and B = -5 1-23 is the product AB defined? If so, compute it; if not explain why.

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