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Unformatted text preview: 2 2 = is { } 3 2 , u u , where âŽ¥ âŽ¥ âŽ¥ âŽ¦ âŽ¤ âŽ¢ âŽ¢ âŽ¢ âŽ£ âŽ¡ = âŽ¥ âŽ¥ âŽ¥ âŽ¦ âŽ¤ âŽ¢ âŽ¢ âŽ¢ âŽ£ âŽ¡âˆ’ = 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 and { p 2 (x), p 3 (x)} is a basis of . 1 E 2 E Fraleigh & Beauregard , 1...
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 Spring '10
 X.Jiang
 Linear Algebra, Algebra, Addition, Standard basis, Scarborough Department of Computer and Mathematical Sciences, Fraleigh & Beauregard, Scarborough Department

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