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  3. 2 problem 2 consider the following two 2 x 2matrices...

Question: 2 problem 2 consider the following two 2 x 2matrices...

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2. Problem 2. Consider the following two (2 x 2-matrices with real coeffi- cients, (13) and B1 0 0 -1 0 1 a) Compute A +2B b) Compute B2, AB, and BA: c) Verify that, tr(2A+3B) 2tr(A) +3tr(B), where the symbol tr denotes the trace of a matrix; d) Verify that, det (2A+3B)22 det (A) +3 det(B), where the symbol det denotes the determinant of a mat rix:
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