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Unformatted text preview: B corresponding to 2 2 is 3 2 , u u , where 1 , 1 1 3 2 u u . The vectors 3 2 1 , , u u u are the coordinate vectors relative to B of p 1 (x) =  2 + x + x 2 , p 2 (x) =  1 + x 2 , p 3 (x) = x Therefore, {p 1 (x)} is a basis of 1 E and { p 2 (x), p 3 (x)} is a basis of 2 E ....
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 Fall '09
 YANG
 Linear Algebra, Algebra, Addition, basis, mathematical sciences, Standard basis, Scarborough Department of Computer and Mathematical Sciences, Scarborough Department

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