2. (10 points) Let A and B be 4 x 4 matrices of real numbers. Which of the following statements are true? A) If A and B

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2 10 Points Let A And B Be 4 X 4 Matrices Of Real Numbers Which Of The Following Statements Are True A If A And B 1 (48.49 KiB) Viewed 25 times

2. (10 points) Let A and B be 4 x 4 matrices of real numbers. Which of the following statements are true? A) If A and B are row equivalent, then det A = det B. B) A can have one real eigenvalue and three non-real complex eigenvalues. C) det A = det(-A). D) If 1 is the only eigenvalue of A, then A is similar to the 4 x 4 identity matrix. E) If A and B are similar, then Az = 7 and Bi=7 have the same solution set. = ( =