Question: Please show all work except for T/F transformation, then 1 Is also offto. -4 4 22 3. Consider the matrices A = 0 1 3

Please show all work except for T/F

transformation, then 1 Is also offto. -4 4 22 3. Consider the matrices A = 0 1 3 and B = HON 0 = -2 0 -2 (a) (15pt) Write the linear system associated to the equation Ax = b as equations in variables X1, 12, . . . and express the solution x in parametric vector form. (b) (10pt) Are the columns of B linearly independent or linearly dependent? If they are linearly independent, explain why. If they are linearly dependent, find a nontrivial relation of linear dependence between them. (c) (3pt) Suppose C is an m x n matrix and let y E R" be a nonzero vector. TRUE or FALSE: The solution set of Cx = y is a vector subspace of R". [-2 21

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