Prove that the product of a complex number a + bi and its complex conjugate is a

Question:

Prove that the product of a complex number a + bi and its complex conjugate is a real number?

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Algebra and Trigonometry

ISBN: 978-1337271172

10th edition

Authors: Ron Larson

See More Books

Question Posted: Feb 14, 2018 01:38 AM

See More Questions

Fill in the blank to correctly complete each sentence. The product of a complex number and its conjugate is always a(n) __________.
The product of a complex number and its conjugate is always a real number. Determine whether each statement is true or false. If false, explain why.
Prove that the product of any three consecutive integers is divisible by 6.
Suppose there are two identical forest plots except that one will be harvested and left as is while the second will be cleared after the harvest and turned into a housing development. In terms of...
A loan company has been advertising on television a plan that allows people to borrow $1000 and make a payment of $10.87 per month. This payment is for interest only and includes no payment on the...
Fixed cost allocation. State University completed construction of its newest administrative building at the end of 2011. The University's first employees moved into the building on January 1, 2012....
Determine the magnitude of the horizontal component of the anchoring force required to hold in place the sluice gate shown in Fig. 5.59. Compare this result with the size of the horizontal component...
The following is a list of selected accounts and ending account balances taken from the books of the Adams Company on December 31, 2007: Account Title Amount Premium on preferred stock .......... $...
Currently there is discussion by the members of NAFTA to form an optimum currency area. Support or do not support the creation of an optimum currency area. What are the advantages and disadvantages...
Rolfe Company (a U.S.-based company) has a subsidiary in Nigeria where the local currency unit is the naira (NGN). On December 31, 2016, the subsidiary had the following balance sheet (amounts are in...
The multiplicative inverse of a complex number z is a complex number zm such that z ( zm = 1. Find the multiplicative inverse of each complex number? (a) z = 1 + i (b) z = 3 i (c) z = 2 + 8i
A fractal is a geometric figure that consists of a pattern that is repeated infinitely on a smaller and smaller scale. The most famous fractal is the Mandelbrot Set, named after the Polish-born...
For the following exercises, state the reference angle for the given angle. 100
If Mac goes ahead and recognizes a sale of $$15,000$ in its December 31 financial statements for this inconclusive agreement, which of the following is correct? (a) CFFO will increase by...
If XYZ goes ahead and secures the backdated order and recognizes it as a bill and hold sale, which of the following is correct? (a) This would cause operating income to exceed CFFO by \($10,000\. (b)...
If XYZ goes ahead and secures the backdated order and recognizes it as a bill and hold sale in its December 31 financial statements, which of the following is correct? (a) Operating income would be...
Nature, a leading science magazine, argues (https://www.nature.com/articles/d41586-020-01518-y) that COVID19 will force universities to confront long-standing challenges in higher education, such as...
Why do overstatements of restructuring reserves sometimes cause gross margin percentages to change suddenly?
How has Theo Chocolate incorporated its model of philanthropy and social responsibility into a successful business concept?
What mass of KBr (in grams) should you use to make 350.0 mL of a 1.30 M KBr solution?
Use the sixth row of Table 1 in Appendix B to generate 12 random numbers between 1 and 99. Table 1 in Appendix B 92630 78240 9267 95457 53497 23894 37708 79862 79445 78735 71549 44843 26104...
Use the tenth row of Table 1 in Appendix B to generate 10 random numbers between 1 and 920. Table 1 in Appendix B 92630 78240 9267 95457 53497 23894 37708 79862 79445 78735 71549 44843 26104...
A researcher wants to study the effects of sleep deprivation on motor skills. Eighteen people volunteer for the experiment: Jake, Maria, Mike, Lucy, Ron, Adam, Bridget, Carlos, Steve, Susan, Vanessa,...
What strategies and frameworks do you employ to prioritize strategic initiatives and allocate resources effectively, balancing short-term imperatives with long-term sustainability and growth...
The following table shows the data from 2000 general social survey. The table cross classifies gender and political party identifications. Subjects indicated whether they identified more strongly...
The Information Richness of Communication Media The four types of communication media are Face-to-face Communication, Spoken Communication Electronically Transmitted, Personally Addressed Written...

Prove that the product of a complex number a + bi and its complex conjugate is a

Question:

Step by Step Answer:

a bi a bi a 2 abi abi ...View the full answer

Algebra and Trigonometry

Students also viewed these Calculus questions