Use z=a+b i to show that z̅=z

Name: Problem 90, Chapter 1: College Algebra
Uploaded: 2020-04-20T13:43:09-08:00
Duration: 31 s
Channel: Ankit Gupta
Description: Use z=a+b i to show that z̅=z

step 1 We have to prove that Z double bar is equal to Z. For this, we have given that Z is equal to A p

Question

Use $z=a+b i$ to show that $\overline{\bar{z}}=z$

   Use $z=a+b i$ to show that $\overline{\bar{z}}=z$

College Algebra

Michael Sullivan 10th Edition

Chapter 1, Problem 90

Instant Answer

Solved by Expert Ankit Gupta

04/20/2020

Step 1

The conjugate of a complex number $z=a+bi$ is given by $\bar{z}=a-bi$. Show more…

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Use $z=a+b i$ to show that $\overline{\bar{z}}=z$

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Key Concepts

Complex Numbers

Complex numbers are expressions of the form a + bi, where a and b are real numbers and i is the imaginary unit, defined by i² = -1. They form an essential part of algebra and are used to solve equations that have no real solutions, as well as in various fields of engineering and physics.

Complex Conjugate

The complex conjugate of a complex number is formed by changing the sign of the imaginary part. For a complex number z = a + bi, its conjugate is given by a - bi. An important property of the complex conjugate is that taking the conjugate twice returns the original complex number, i.e., the conjugate of a conjugate is z itself.

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