Question: . (a) (10 points) For an arbitrary m x n real matrix, prove that ker(A A) = ker(A). (b) (5 points) If A is an

(a) (10 points) For an arbitrary m x n real matrix, prove that ker(A" A) = ker(A). (b) (5 points) If A is an n x n real matrix with AAT = ATA, prove that ker(A) = im(A)

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