Show that if A is similar to B, then a. det(A) = det(B). b. The characteristic
Chapter 9, Problem 14(choose chapter or problem)
Show that if A is similar to B, then a. det(A) = det(B). b. The characteristic polynomial of A is the same as the characteristic polynomial of B. c. A is nonsingular if and only if B is nonsingular. d. If A is nonsingular, show that A1 is similar to B1. e. At is similar to Bt .
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