*PT i -(1)-619) B = 01 A= 2 0 g). 32 21 compute (a) A + B. (b) AB, (c) [A, B], (d) A, (e) A. (f) A¹. (g) Tr(B), (h) det (B), and (i) B¹. Check that BB¹ = 1. Does A have an inverse?

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Chapter2: Second-order Linear Odes
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*Problem 3.9 Given the following two matrices:
i
--G÷9-619)
A = 2 0
B = 0
2
21
20
i 3 2
compute (a) A + B. (b) AB, (c) [A, B], (d) A, (e) A. (f) A. (g) Tr(B), (h) det(B),
and (i) B¹. Check that BB¹ = 1. Does A have an inverse?
Transcribed Image Text:*Problem 3.9 Given the following two matrices: i --G÷9-619) A = 2 0 B = 0 2 21 20 i 3 2 compute (a) A + B. (b) AB, (c) [A, B], (d) A, (e) A. (f) A. (g) Tr(B), (h) det(B), and (i) B¹. Check that BB¹ = 1. Does A have an inverse?
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