Question: 4.6.A Let A be a m x 72 matrix with m 2 n. What is the largest possible dimension of (a) the null space of

 4.6.A Let A be a m x 72 matrix with m

4.6.A Let A be a m x 72 matrix with m 2 n. What is the largest possible dimension of (a) the null space of A? (b) the column space of A? (c) the row space of A? 4.6.B Let A be a m x n matrix with m S n. What is the largest possible dimension of (a) the null space of A? (b) the column space of A? (c) the row space of A? 4.6.0 Let n 2 1, and dene T : P", > R2 by setting T(f) = [u] for every f 6 P\". . . f(2) (a) Show that T 18 hnear. (b) Show that Range(T) has dimension 2 and that Null(T) has dimension n 1

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