Question: (8 points) Let 33,3; 6 R be given. (a) If at = My = 1 and x . y = 1, show that a: =

(8 points) Let 33,3; 6 R" be given. (a) If \"at\" = My\" = 1 and x . y = 1, show that a: = y. (b) If \"it\" E 1 and \"all S 1, prove that x/1-||39||2 1- IIyII2 S 1 - lw-yl- (8 points) Let A 6 MAR) be given. (a) If AAt = 0n, prove that A = 0\". Does this hold if A 6 MAC)? (b) Suppose that A'A 2 AA? Prove that A'A m A2 if and only if A is symmetric

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