practiceExam1Sample3

practiceExam1Sample3 - Problem 1[10 points In each part of...

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Problem 1 : [10 points] In each part of this problem, A , B , and are square matrices. C (a) Show that . 1 1 ( ) AB B A = 1 (b) Use the results from part (a) to write down 1 ( ) ABC in terms of 1 A , 1 B , and 1 C . (c) True or false: If A λ is an eigenvalue of A , then 3 A λ is an eigenvalue of . State your reasoning. 3 A 1
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