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Unformatted text preview: 7 . 1) Show that ~x âˆˆ W âŠ¥ . 1 2) Find other vectors in W âŠ¥ . Solution: 1) 1 2 1 Â· ~x = 0 , 3 1 1 Â· ~x = 0 . 2) Let ~x = x 1 x 2 x 3 âˆˆ W âŠ¥ . Then 1 2 1 Â· ~x = 0 , 3 1 1 Â· ~x = 0 â‡’ A~x = 0 , A = "1 2 1 3 1 1 # âˆ¼ "4 1 0 7 4 # . The solution of this is: x 1 = 1 / 4 x 2 ,x 3 =7 / 4 x 2 , i.e., ~x = 1 / 4 x 2 1 47 . 2...
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 Winter '08
 SOMEONE
 Math, Linear Algebra, Vectors, Vector Space, Dot Product, Euclidean vector, Vector Motors

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