Unformatted text preview: S from B 1 to B 2 . 2. Let T : P 4 → P 4 be the linear transformation deﬁned by T ( p ( x )) = p 00 ( x ) + p ( x ) + p ( x ) . Find the matrix of T with respect to B 2 . Problem 3 Given the subspace of R 2 × 2 S = { • x y z ‚  £ 14 3 / • x y z ‚• 23 ‚ = 0 } , ﬁnd its dimension and a basis B of S such that [ A ] B = • 2 3 ‚ , for A = • 21 ‚ . 1...
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 Spring '05
 CONSANI
 Linear Algebra, Algebra, Polynomials, Transformations, Matrices, Vector Space, linear transformation, following transformations, basis matrix, set B2

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