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(LO OF C] 9 () Let U be the subspace of upper triangular matrices in M2x2(R), and let T : U - P2 (R) be

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(LO OF C] 9 () Let U be the subspace of upper triangular matrices in M2x2(R), and let T : U - P2 (R) be defined by ( 10 ] ) = ( a + 6 ) + ( a+ Given that T is a linear transformation, find a basis for the range and kernel of T and verify the Rank-Nullity Theorem

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