complex numbers , math homework help

User Generated

algrnpue

Mathematics

Description

In complete sentences answer the following questions. Give examples where necessary.

  1. Explain why the product of a complex number and its conjugate is a real number.
  2. Explain why i2 is -1, but i 4 is 1.

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Explanation & Answer

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In complete sentences answer the following questions. Give examples where necessary.
1.Explain why the product of a complex number and its conjugate is a real number.
A complex number and its conjugate differ only in the sign that is in between the real and
imaginary parts of the complex number. This is essentially producing the difference of 2
sq...


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