Question: Q4. Let A e Man(F). Let {31, . . . , 3k} Q Fm. Let 302- be asolution to A? = 31 for i =

Q4. Let A e Man(F). Let {31, . . . , 3k} Q Fm. Let 302- be asolution to A? = 31 for i = 1, . . . , k. (a) Prove that if {31, . . . , 3k} is linearly independent, then {251, . . . , 3k} is linearly inde- pendent. (b) Assume that rank(A) = n. Prove that if {351, . . . , Tc'k} is linearly independent, then { b 1, . . . , b k} is linearly independent

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