Consider the transformation T : R3[2] + R2[2] given by Tar3 + bx2 + cx + d) = cx + d. Verify that T is a linear transformation. Compute the matrix of T relative to the bases B = {1, 2, 22, 23} and D = {1, x,x} OR E = {e1,e2} is the standard basis of R2 and B = {b1 = b2 Il } Is the transformation T diagonalizable? Why or why not? Justify your answer.

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Verify that T is a linear transformation.
Compute the matrix of T relative to the bases B = {1, 2, 22, 23} and D = {1, x,x} O

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