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Unformatted text preview: spaces: (a) x 1x 2 + 4 x 4 + 2 x 5x 6 = 0 2 x 12 x 2 + x 3 + 2 x 4 + 4 x 5x 6 = 0 1 2 (b) 2 x 12 x 2 + 4 x 3 + 2 x 4 = 0 2 x 1 + x 2 + 7 x 2 + 4 x 4 = 0 x 14 x 2x 3 + 7 x 4 = 0 4 x 112 x 220 x 4 = 0 (c) 3 x 1 + 6 x 3 + 3 x 4 + 9 x 5 = 0 x 1 + 3 x 24 x 38 x 4 + 3 x 5 = 0 x 16 x 2 + 14 x 3 + 19 x 4 + 3 x 5 = 0 7. Determine the dimension and ﬁnd a basis for W = { ( x 1 , x 2 , x 3 , x 4 ) ∈ R 4  x 1 + x 3 = 0 , x 2 = x 4 } . 8. Determine the dimension and ﬁnd a basis for W = { ( x 1 , x 2 , x 3 ) ∈ R 3  x 1 + x 2 + x 3 = 0 } ....
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This note was uploaded on 12/26/2011 for the course MATH 5A taught by Professor Rickrugangye during the Fall '07 term at UCSB.
 Fall '07
 RickRugangYe
 Math

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