Unformatted text preview: A1 ) = 1 det( A ) 4. Consider the set W = { p ( x ) ∈ P 3  p ( x ) = p (x ) } (a) Prove, using the deﬁnition of a subspace, that W is a subspace of P 3 . (b) Find a linear transformation T such that W = ker( T ) [Hint: note that if p ( x ) = p (x ) then p ( x )p (x ) = 0]. (c) Find the matrix of T . (d) Find a basis for W using your answer to 4c. 1...
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 Fall '08
 Chorin
 Math, Linear Algebra, Michaeel Kazi, Ivan Ventura, basis matrix PC→B

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