Week6 - coordinates are zero In particular W 1 contains the...

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Solutions for Assignment 6 Applied Linear Algebra MATH 232 (Fall 2008) Section 2.8 Section 2.9

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Assignment 6 Applied Linear Algebra Math 232(Fall 2008) Additional question: Let W 1 = x y z : x = 0 and y = 0 and W 2 = x y z : x = 0 or y = 0 . Is W 1 a subspace of R 3 ? Same question for W 2 . Justify your answers. A1. W 1 is a subspace. Notice that W 1 is just the set of vectors whose ﬁrst two
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Unformatted text preview: coordinates are zero. In particular, W 1 contains the zero vector and is closed under scalar multiplication and addition. Notice that if the vectors 1 and 1 are both in W 2 , but their sum, 1 1 , is not. Hence W 2 is not a subspace. 1...
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This note was uploaded on 06/14/2011 for the course MATH 232 taught by Professor Russel during the Fall '10 term at Simon Fraser.

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Week6 - coordinates are zero In particular W 1 contains the...

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