Question: Let B = {3 + 2x + x 2 , 1 + x + 2x 2 , 1 + 2x} and B ' = {1

Let B = {3 + 2x + x2 , 1 + x + 2x2 , 1 + 2x} and B' = {1 + x x2 , x + 2x2 ,1 + 4x}

be two non-standard bases for P2(x). Let p1 = 1 + x + x2 P2(x).

Calculate [p1]B and [p1]B'

Use the change of basis matrix.

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