(8%) Let M
2(R) be the vector space of all 2 X 2 matrices with real coefficients and let Pz be the
vector space of all real polynomials of degree at most 2. Define T: M
2(R) → P
2 by
=(a+b)+2dx+bx
2.
Let B=
and C={1，x，x2}，D={1+x，x，1+x
2}
Be ordered bases for M
2(R) and P
2, respectively. Determine
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