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nsider the matrices A = B = 2 C = c- (1 ² 3) 64 69 (a) Calculate AB, BA, AC, BC and (A + B)C. (b) Explain why it is not possible to find A + C, CA, or C(A + B). (c) For the square matrices A and B, calculate the determinants, det(A) and det(B). (d) Using your results from part (c) briefly explain why A has an inverse and B does not. Calculate the inverse A-¹ of matrix A

nsider the matrices A = B = 2 C = c- (1 ² 3) 64 69 (a) Calculate AB, BA, AC, BC and (A + B)C. (b) Explain why it is not possible to find A + C, CA, or C(A + B). (c) For the square matrices A and B, calculate the determinants, det(A) and det(B). (d) Using your results from part (c) briefly explain why A has an inverse and B does not. Calculate the inverse A-¹ of matrix A

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Consider the matrices A = (a) Calculate AB, BA, AC, BC and (A + B)C. (b) Explain why it is not possible to find A + C, CA, or C(A + B). (c) For the square matrices A and B, calculate the determinants, det (A) and det(B). (d) Using your results from part (c) briefly explain why A has an inverse and B does not. Calculate the inverse A¹ of matrix A. B = 2 5 (²3) c = (1²3) C 6 4
Transcribed Image Text:1. Consider the matrices A = (a) Calculate AB, BA, AC, BC and (A + B)C. (b) Explain why it is not possible to find A + C, CA, or C(A + B). (c) For the square matrices A and B, calculate the determinants, det (A) and det(B). (d) Using your results from part (c) briefly explain why A has an inverse and B does not. Calculate the inverse A¹ of matrix A. B = 2 5 (²3) c = (1²3) C 6 4
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