If z = a + ib is a complex number we define the conjugate of z to be the complex number z = a - ib, and the magnitude of z to be |z| = √a² +6². (d) Using the formula in (b) that for any complex numbers z, z' or magnitude 1 there product and inverses also have magnitude 1. Hint: first prove that zz' = zz'
If z = a + ib is a complex number we define the conjugate of z to be the complex number z = a - ib, and the magnitude of z to be |z| = √a² +6². (d) Using the formula in (b) that for any complex numbers z, z' or magnitude 1 there product and inverses also have magnitude 1. Hint: first prove that zz' = zz'
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter1: Equations And Inequalities
Section1.3: Complex Numbers
Problem 108E
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![4. If z = a + ib is a complex number we define the conjugate of z to be the complex number z = a − ib,
and the magnitude of z to be |z| = √a² +6².
(d) Using the formula in (b) that for any complex numbers z, z' or magnitude 1 there product and
inverses also have magnitude 1.
Hint: first prove that zz' = zz](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F544a9f38-3e68-4113-87a7-993914a696cb%2F84dea8c9-7113-45ff-8d71-3c5bd2609034%2Fo7c9tp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. If z = a + ib is a complex number we define the conjugate of z to be the complex number z = a − ib,
and the magnitude of z to be |z| = √a² +6².
(d) Using the formula in (b) that for any complex numbers z, z' or magnitude 1 there product and
inverses also have magnitude 1.
Hint: first prove that zz' = zz
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