Question: (Multiple choice) Suppose A and B are two n X n matrices and A is similar to B. Let LA : R - R. and

(Multiple choice) Suppose A and B are two n X n matrices and A is similar to B. Let LA : R" - R." and LB : R." - R." be two linear transformations such that LA(x) = Ax and LB(2) = Bx. Which ones of the following statements are correct?a. LA is one-to-one if and only if LB is one-to-one. b. A is similar to BT. c. A and B have the same null space. d. A and B have the same determinant. e. A and B have the same column space. f. It is possible that LA is onto but LB isn't

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