MATH 2510 HW 3

MATH 2510 HW 3 - THE CHINESE UNIVERSITY OF HONG KONG...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
This is the end of the preview. Sign up to access the rest of the document.

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 ′ )...
View Full Document

This note was uploaded on 03/03/2012 for the course MATH 2510 taught by Professor Jeff during the Fall '10 term at CUHK.

Page1 / 2

MATH 2510 HW 3 - THE CHINESE UNIVERSITY OF HONG KONG...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online