hw9 - : x + z = 0,x,z R 4. W 4 = x R 3 : A x = where A is a...

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MATH 262 Homework 9 February 24, Fall 2010 Name: Section: NO CREDIT WILL BE GIVEN IF YOU EITHER SHOW YOUR ANSWERS TO OTHERS OR YOU COPY FROM OTHERS. THIS HOMEWORK SHOULD BE DONE BY YOURSELF. 1. (10 points) Consider the vector space R 3 with the standard operations. Consider 1. W 1 = x y z : x - y + z = 0,x,y,z R 2. W 2 = x 0 z : x,z R 3. W 3 = x 0 z
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Unformatted text preview: : x + z = 0,x,z R 4. W 4 = x R 3 : A x = where A is a 3 3 matrix 5. W 5 = 1 Check whether W i is a subspace of R 3 or not for each i . You must justify your answer. NO credits will be given if you dont provide justication....
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