Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. basic math
  3. find a matrix representation of transformation t(x

Find a matrix representation of transformation T(x)= 2x1w1+x2w2-3x3w3 from R3 to a vector space W, where...

60.1K

Verified Solution

Question

Basic Math

Find a matrix representation of transformation T(x)=2x1w1+x2w2-3x3w3 from R3 to a vector space W, where w1,w2, and w3 ∈W. Clearly state how this matrix is representing thetransformation.

Answer & Explanation Solved by verified expert
4.3 Ratings (550 Votes)
TR3 W is defined by TX Tx1x2x3T 2x1 w1x2 w23x3 w3 where w1w2 and w3 W Then Te1 T100T 2w10w20w3 Te2 T010T 0w11w20w3 and Te3 T001T 0w10w23w3 Hence the standard matrix    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: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Chemistry
1.2K views

1.) Explain the following observations in terms of shifting equilibria by Le Chatelier's Principle. Write the...

Electrical Engineering
1.2K views

What is a Tera-Tera system in a power system network mean and how does it...

General Management
1.2K views

The accounting department needs to forecast the profit for a subsidiary. The data for several months...

Physics
1.2K views

Figure shows a balanced Wheatstone s bridge S 102 B P 100 S2 A R...

Geometry
1.2K views

Avery leans a 24 foot ladder against a wall so that it forms an angle...

Algebra
1.2K views

Find the multiplicative inverse of the following number 1 10 1 The multiplicative inverse of...

Algebra
1.2K views

QUIZ 11 4 11 6 11 7 Question 8 of 14 The probability of selecting...

Accounting
1.2K views

all one big question, answer all for a like ...

Accounting
1.2K views

show work 3 pts) Calculate the amount of interest due on...

Accounting
1.2K views

Describe how to report equity securities with controlling influence.

Accounting
1.2K views

Required Prepare a classified balance sheet for the Almway Corporation at December 31, 2024. Include...

Accounting
1.2K views

On August 1, 2013, Noll Corporation borrowed $200,000 from BEST bank by signing a 6%,...