Question: . Determine whether each statement is true or false [.2513], and justify your answer [.25p]. (iv) T F [.5p] In a 4 x 3 matrix

. Determine whether each statement is true or false [.2513], and justify your answer [.25p]. (iv) T F [.5p] In a 4 x 3 matrix one of the columns must be a linear combination of the other columns. (v) T F [.5p] If A E Rmxn and B E R"XP have orthonormal column vectors, then AB has orthonormal column vectors. (vi) T F [.5p] If V is a vector subspace of R" of dimension less than n, then the orthogonal projection Pv : Rn - Rn, Pv(x) = projvx is an orthogonal transformation

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