Let z* denote the conjugate of the complex number z, that is, (a + bi)' = a - hi. Prove
Chapter 33, Problem 33.26(choose chapter or problem)
Let \(z^{*}\) denote the conjugate of the complex number z, that is, \((a+b i)^{*}=a-b i\). Prove that the following are true for each \(z \in \mathbb{C}\).
(a) \(\left|z^{*}\right|=|z|\)
(b) \(z z^{*}=|z|^{2}\)
(c) \(z^{-1}=z^{*} /|z|^{2} \text { if } z \neq 0\).
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