Q BgQuestion:

      
Pupil
Karma Points: 50
Respect (100%):
posted by  bjjad on 8/25/2009 1:54:13 AM  |  status: Closed  |  Earned Karma: 50

Linear Transformations

Course Textbook Chapter Problem Needs by
Linear Algebra Linear Algebra by J.B. Fraleigh and R.A. Beauregard (any edition), Addison Wesley; N/A N/A N/A
Question Details:
 

In each of the following, determine the standard matrix of the given linear transformation:

(i)

(ii) T([x1, x2, x3] = [x1 + x2, x1 + x3, x2 + x3].


Bonus Point Alert! Earn +4 additional karma points for helping this gold member.

AAnswers:

Answer Question Ask for clarification
Oracle
Karma Points: 30,644
posted by Kingle on 8/25/2009 3:09:38 AM  |  status: Live
Asker's Rating: Lifesaver   
Response Details:
us the canonical basis vectors

   is the first column of the standard matrix

is the second column of the standard matrix


is the third column of the standard matrix


so the standard matrix is 
Answer Question Ask for clarificarion

Join Cramster's Community

Cramster.com brings together students, educators and subject enthusiasts in an online study community. With around-the-clock expert help and a community of over 100,000 knowledgeable members, you can find the help you need, whenever you need it. Join for free today » How Cramster is different from tutoring »