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Unformatted text preview: THE CHINESE UNIVERSITY OF HONG KONG Department of Mathematics MATH2510 Linear Algebra and Applications (Winter 2011) Homework 3 Due Date: 25 th February, 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. (Optional) In Problems (a) and (b), a set of objects is given together with addition operator + and scalar multiplication operator • . Determine which sets are vector spaces under the given operations. For those that are not, list all axioms that fail to hold. (a) The set of all positive real numbers u with the operations u + v = uv and k • u = u k . (b) The set of all ordered pairs of real numbers with the operations ( x, y )+( x ′ , y ′ ) = ( x + x ′ , y + y ′ )...
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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.
 Fall '10
 jeff
 Math, Linear Algebra, Algebra

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