Question: 3. Let U be the subspace of upper triangular matrices in M2x2(R) and let T : U - P. (R) be the linear mapping defined

3. Let U be the subspace of upper triangular matrices in M2x2(R) and let T : U - P. (R) be the linear mapping defined by T ( o ! ] ) = ( a +b ) + (at Find a basis for the range and kernel of T and verify that they satisfy the Rank-Nullity Theorem

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