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Hello! Could someone please solve the problem shown in the image below? 4. (10 points) (a) (5 points) Let B = {b1, b2, by} be

Hello! Could someone please solve the problem shown in the image below?

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4. (10 points) (a) (5 points) Let B = {b1, b2, by} be the basis of 3 consisting of the column vectors of A. where A is the standard matrix of the linear transformation given by reflection over the plane 3r + my - 17z = 0. Compute the B-matrix of the linear transformation transformation T(v) = 2v. (b) (5 points) Let P be an invertible matrix with column vectors {v1,..., Un}. Explain why (v1. .... Un} is a basis B of R". Next, prove that for any vector v E R", P. [UB = v

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