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(1 point) A matrix A is said to be similar to a matrix B if there is an invertible matrix P such that B = PAP-1. Let A1, A2, and A3 be 3 X 3 matrices. Prove that if A , is similar to A2 and A2 is similar to A3 , then A , is similar to A3 . Proof: Since A1 is similar to A2, + for some invertible matrix P. Since A2 is similar to A3, 4 for some invertible matrix Q. Substituting the expression for A2 in the first equation into the second equation yields which is equivalent to for invertible matrix QP This proves that A1 is similar to A3 . Q. E. D. A. A3 = Q(PAP-1)Q-1 B. A1 = PA2P-1 A C. A2 = QA30-1 D. A2 = PAP-1 E. A1 = (QP)A3(QP)-1 F. A] = P(QA30-1) p-1 G. A3 = QA2Q-1 H. A3 = (QP)A (QP)-1