Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. construct the 2 × 2 matrix for the linear transfo

Construct the 2 × 2 matrix for the linear transformations R 2 ? R 2 defined...

60.1K

Verified Solution

Question

Basic Math

Construct the 2 × 2 matrix for the linear transformations R 2 ?R 2 defined by the following compositions. In each case, write downthe matrix of each transformation, then multiply the matrices inthe correct order.

(a) A dilation by a factor of 4, then a reflection across thex-axis.

(b) A counterclockwise rotation through ?/2 , then a dilation bya factor of 1/2 .

(c) A reflection about the line x = y, then a rotation though anangle of ?.

Answer & Explanation Solved by verified expert
4.2 Ratings (685 Votes)
a The matrix representing dilation by a factor of 4 is M 4 0 0 4 The matrix representing reflection across the XAxis is N 1 0 0 1 Hence the matrix representing    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

1- what is the relation between the terminal voltage drop and the resistor voltage drops? 2- how...

Physics
Q

4. If the price of one of the products associated with indifference curves increases, all else...

Economics
Q

Create a balanced scorecard for Tesla for 4 key areas : 1.Financial Strength – Profitability and...

General Management
Q

What remedies is an employee potentially entitled to if retaliated against by an employer for exercising...

General Management
Q

Sabel Co. purchased assembly equipment for $836,000 on January 1, 2018. Sabel’s financial condition immediately prior...

Accounting
Q

Choose the most original research question.What are the main themes of Shakespeare's Othello?How have modern...

Biology
Q

Determine the equation of the parabola that opens down has focus 0 12 and a...

Basic Math
Q

Find (fog)(1), (g o f)(1), (f o g)(x) and (gof)(x).f(x) = x + 1; g(x)...

Basic Math
Q

Suppose that we ve decided to test Clara who works at the Psychic Center to...

Statistics
Q

acko Corporation has two projects in which it can invest. Project A has a $500,000...

Accounting
Q

UPI Industries Ltd., a Canadian corporation with a head office in Nova Scotia, has recently...

Accounting
Q

need help with this problem Exercise 4 Jeanne has just graduated...

Finance