253Homework3

Linear Algebra with Applications (3rd Edition)

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ma253 ,Fa l l 2007 — Problem Set 3 This problem set deals mostly with linear transformations and matrices, but there’s also some stuff about more general linear spaces. As usual, solve all the problems, then write up and turn in those marked with an asterisk. This assignment is due on Wednesday, October 3 . 1. Problems from the textbook: a. Section 2 . 1 , problems 1 , 3 ,* 4 , 5 ,* 6 , 9 ,* 10 ,* 16 , 18 , 19 ,* 20 , 24 30 . 40 , * 49 ,* 52 . b. Section 2 . 2 , problems 1 , 4 , 5 , 7 ,* 18 , 19 ,* 34 c. Section 2 . 4 , problems 1 13 ,* 14 , 15 ,* 16 , 17 , 19 ,* 20 ,* 76 2. The matrix A = ± - 0.6 1 0 - 0.4 0 1 ² , corresponds to a linear transformation T : R 3 R 2 . Consider the unit cube in R 3 de±ned by the standard basis vectors e 1 = 1 0 0 e 2 = 0 1 0 e 3 = 0 0 1 . In R 2 , draw the image under T
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This homework help was uploaded on 01/23/2008 for the course MATH 253 taught by Professor Ghitza during the Fall '07 term at Colby.

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253Homework3 - ma253, Fall 2007 - Problem Set 3 This...

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