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Let g x 3 x Let T P R P R and U P2 R...

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Algebra

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Let g x 3 x Let T P R P R and U P2 R R be the linear transformations respectively defined by T f x f x g x 2f x and U a bx cr a b c a b Let 3 and y be the standard ordered bases of P2 R and R respectively Show Transcribed Text O a Compute U T s and UT directly Then use Theorem 2 11 to verify your result b Let h z 3 2x x Compute h r and U h x Then use U from a and Theorem 2 14 to verify your result

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