# Lab 4 - MATH 342 Fall 2009 Differential Equations with...

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MATH 342 Differential Equations with Linear Algebra II Fall 2009 Due October 2, 2009 Homework 4 Section 4.2 1. Page 197, number 3 2. Page 197, number 7 3. Page 199, number 14, except use the bases [x 2 /2, 1-x, 1] and [x, 1]. For parts (a)–(d), use the matrix representation you derived. 4. Page 199, number 18 5. Write the standard matrix for the following linear transformations: (a) L : R 3 R 3 projects every point x to the x 1 x 2 -plane (where x 3 = 0). (b) L : R 2 R 2 reflects a vector about the x 1 -axis and then rotates it by − /4. (c) L : R 2 R 2 rotates a vector by − /4 and then reflects it about the x 1 -axis. (d) L : R 3 R 3 , where L(x) = (2x 2 , x 1 − x 3 , 4x 2 − 5x

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## This note was uploaded on 12/23/2009 for the course MATH 342 taught by Professor Edwards,d during the Fall '08 term at University of Delaware.

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Lab 4 - MATH 342 Fall 2009 Differential Equations with...

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