Question
Asked Oct 20, 2019

Question is attached! Thanks. 

z refers to complex number

is a reflection and enlargement of z
Show that
Z
help_outline

Image Transcriptionclose

is a reflection and enlargement of z Show that Z

fullscreen
check_circle

Expert Answer

Step 1

Let z be a complex number.

It is needed to show that 1/z is a reflection and enlargement of z.

Step 2

1/z is a reflection of z about real axis when conjugating twice gives the original c...

1
so,
х -
1
iy
x-iy
ंन
x
-y2
y
+
1
1
(x-iy)
Z
1
1
a so
= a(x-iy)
let
y
Z
1
1
- a(x iy)and a(x- iy)
-
Z
1
is a reflection of z
therefore
_
Z
+
T N
N
help_outline

Image Transcriptionclose

1 so, х - 1 iy x-iy ंन x -y2 y + 1 1 (x-iy) Z 1 1 a so = a(x-iy) let y Z 1 1 - a(x iy)and a(x- iy) - Z 1 is a reflection of z therefore _ Z + T N N

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Advanced Math

Related Advanced Math Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: You have 1.5 kilograms of sugar. You use 850 grams of sugar. How many ounces of sugar do you have re...

A: The problem is mainly concerned with dealing with different systems of units and taking care of the ...

question_answer

Q: National Business Machines manufactures x model A fax machines and y model B fax machines. Each mode...

A: From the given information, the machines manufactures x model A fax machines and y model B fax machi...

question_answer

Q: linear algebra

A: To show every 2 by 2 matrix is a linear comination of the 4 gicen matrices. Also , to determine four...

question_answer

Q: Show that if AB BA, then eA+BeAeB, but if they do commute, then the relations hold

A: The problem concerns exponentials of matrices and commutativity

question_answer

Q: Using 3-point and 4-point Gaussian Quadrature, determine approximations for 1 1.5a3 6.12+1.7 dx 1

A: To estimate the value of the given definite integral by Gaussian quadrature method

question_answer

Q: Chapter 6, Section 6.2, Question 039 The graph of f is shown in the figure below. B f (x) Using the ...

A: To deduce the appropriate transformation of the function f(x) from the graphs

question_answer

Q: 9*. Use Lagrange's theorem to prove: If g E G, G a finite group, then gG| = 1.

A: To prove the given statement, assume the following.

question_answer

Q: A man wishes to purchase a life insurance policy that will pay the beneficiary $15,000 in the event ...

A: From the given informationBeneficiary amount for life insurance policy=$15000Probability that the pe...

question_answer

Q: Write up a formal proof of the following: Claim: For any set A, A ⊆ A.

A: To prove rigorously that any set A is a subset of itself.