Winter 2006 - Nagy's Class - Exam 2 (Version A)

Winter 2006 - Nagy's Class - Exam 2 (Version A) - Print...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
Print Name: Student Number: Section Time: Math 20F. Midterm Exam 2 March 8, 2006 Read each question carefully, and answer each question completely. Show all of your work. No credit will be given for unsupported answers. Write your solutions clearly and legibly. No credit will be given for illegible solutions. 1. (9 points) Consider the linear transformations T : IR 3 IR 3 and S : IR 3 IR 3 given by T x 1 x 2 x 3 = 2 x 1 - x 2 + 3 x 3 - x 1 + 2 x 2 - 4 x 3 x 2 + 3 x 3 , S x 1 x 2 x 3 = - x 1 2 x 2 3 x 3 (a) Find a matrix A associated to T and the matrix B associated to S . Show your work. (b) Is T one-to-one? Is T onto? Justify your answer. (c) Find the matrix of the composition T S : IR 3 IR 3 . Justify your answer. (a) Let A = [ T ( e 1 ) , T ( e 2 ) , T ( e 3 )] and B = [ S ( e 1 ) , S ( e 2 ) , S ( e 3 )]. Then, A = 2 - 1 3 - 1 2 - 4 0 1 3 , B = - 1 0 0 0 2 0 0 0 3 .
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 04/23/2008 for the course MATH 20F taught by Professor Buss during the Winter '03 term at UCSD.

Page1 / 4

Winter 2006 - Nagy's Class - Exam 2 (Version A) - Print...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online