MATH 2510 HW 1

MATH 2510 HW 1 - 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 1 Due Date: 28 th January, 2011 Name: Student No.: Class: Final Result: I acknowledge that I am aware of University policy and regulations on honesty in academic work, and of the disciplinary guidelines and procedures applica- ble 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. The following system of equations is nonlinear x 2 + 2 y 2 = 6 x 2- y 2 = 3 . Find substitutions (changes of variables) that convert the above system into a linear system and use this system to help solve the given system. 2. Use the method of elimination to find all solutions to the linear system 4 x 1 + 2 x 2 =- 8 2 x 1 + 4 x 2 + 2 x 3 = 2 x 2 + 4 x 3 + 2 x 4 = 2 x 3 + 4 x 4 + 2 x 5 = 2 x 4 + 4 x 5 = 8 3. Use elementary row operations to find the inverses of the given matrices, if possible3....
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MATH 2510 HW 1 - THE CHINESE UNIVERSITY OF HONG KONG...

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