(10) Let A be a linear transformation of Rn with the standard inner product xiyi. Prove...

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(10) Let A be a linear transformation of Rn with the standard inner product xiyi. Prove that Ker (AA) Ker(A). (Hint: recall first what does it mean that = x Ker(B) for a linear operator B and then use the definition of At.) (10) Let A be a linear transformation of Rn with the standard inner product xiyi. Prove that Ker (AA) Ker(A). (Hint: recall first what does it mean that = x Ker(B) for a linear operator B and then use the definition of At.)