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d) Multiply 2-5i and 1+31.The result should be the same as that found in part (c). e) Compute (a+bi)(a-bi) using matrices, Interpret your result.

d) Multiply 2-5i and 1+31.The result should be the same as that found in part (c). e) Compute (a+bi)(a-bi) using matrices, Interpret your result.

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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d) Multiply 2-51 and 1+ 3r.The result should be the same as that found in part (c). e) Compute (a+bi)(a-bi) using matrices. Interpret your result.
Transcribed Image Text:d) Multiply 2-51 and 1+ 3r.The result should be the same as that found in part (c). e) Compute (a+bi)(a-bi) using matrices. Interpret your result.
2. Frobenius emphasized in his research how matrices could be used to mimic other mathematical systems. Here, we mimic the behaviour of complex numbers using matrices. Mathematicians call such a relationship an isomorphism. Complex number Matrix a a+bi -b Note that the complex number can be read off the top line of the matrix. Thus, 2. 4 -2 2+31 and -3 2 4-21. --> 4
Transcribed Image Text:2. Frobenius emphasized in his research how matrices could be used to mimic other mathematical systems. Here, we mimic the behaviour of complex numbers using matrices. Mathematicians call such a relationship an isomorphism. Complex number Matrix a a+bi -b Note that the complex number can be read off the top line of the matrix. Thus, 2. 4 -2 2+31 and -3 2 4-21. --> 4
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