MATH 2510 HW 2

MATH 2510 HW 2 - THE CHINESE UNIVERSITY OF HONG KONG...

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Unformatted text preview: THE CHINESE UNIVERSITY OF HONG KONG Department of Mathematics MATH2510 Linear Algebra and Applications (Winter 2011) Homework 2 Due Date: 18th February, 2011 Name: Student No.: Class: Final Result: I acknowledge that I am aware of University policy and regulations on hon- esty in academic work, and of the disciplinary guidelines and procedures appli- cable to breaches of such policy and regulations, as contained in the website http://www.cuhk.edu.hk/policy/academichonesty/ Signature Date Answer all the questions. 1. Find an LU-factorization of the given coefficient matrix of the given linear system A x = b , where A =     3 1 3- 4 6 4 8- 10 3 2 5- 1- 9 5- 2- 4     , b =     1 2 4 1     . Solve the linear system using a forward substitution followed by a back substitution. 2. Express each of the following invertible matrices as the product of elementary matrices: (a) bracketleftbigg- 1 2 6- 3 bracketrightbigg (b)   0 1 4- 1 2 1 1 3 3...
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This note was uploaded on 03/03/2012 for the course MATH 2510 taught by Professor Jeff during the Fall '10 term at CUHK.

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MATH 2510 HW 2 - THE CHINESE UNIVERSITY OF HONG KONG...

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