If `[(lambda^(2)-2lambda+1,lambda-2),(1-lambda^(2)+3lambda,1-lambda^(2))]=Alambda^(2)+Blambda+C`, where A, B and C are matrices then find matrices B and C.

Explanation

To solve the problem, we need to find the matrices B and C from the given equation:

\[ \begin{pmatrix} \lambda^2 - 2\lambda + 1 & \lambda - 2 \\ 1 - \lambda^2 + 3\lambda & 1 - \lambda^2 \end{pmatrix} = A\lambda^2 + B\lambda + C \]
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