A5.2 Using the same values for A, B, and C as in the previous problem, find (a) [(A – A*)(B + B*)*]*; (b) (1/C) – (1/B)"; (c) (B+C)/(2BC).

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.1: The Geometry And Algebra Of Vectors
Problem 56EQ
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Answer A5.2 and show the solution
A5.1 Let A = -4 + j5, B = 3 – j2, and C = -6 - j5, and find
(a)C – B; (b)2A – 3B + 5C; (c) j³C²(A + B); (d) B Re{A} + A Re(B}.
A5.2 Using the same values for A, B, and C as in the previous
problem, find (a) [(A – A*)(B + B*)*]*; (b) (1/C) – (1/B)*;
(c) (B + C)/(2BC).
Ans: A5.1: -9 – j3; -47 - j9; 27 – j191; –24 + j23. A5.2: – j60;
-0.329 + j0.236; 0.0662 + j0.1179.
Transcribed Image Text:A5.1 Let A = -4 + j5, B = 3 – j2, and C = -6 - j5, and find (a)C – B; (b)2A – 3B + 5C; (c) j³C²(A + B); (d) B Re{A} + A Re(B}. A5.2 Using the same values for A, B, and C as in the previous problem, find (a) [(A – A*)(B + B*)*]*; (b) (1/C) – (1/B)*; (c) (B + C)/(2BC). Ans: A5.1: -9 – j3; -47 - j9; 27 – j191; –24 + j23. A5.2: – j60; -0.329 + j0.236; 0.0662 + j0.1179.
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