Consider the function T : P2 (R) → P2(R) given by T(a + bx + cx²) = (a – 6+ c) + bx + (-6 – 2c)a². Let T be a linear transformation and eigenvalues of T are A = 1 and A= 2. Find a basis for E2(T) and the geometric multiplicity of A = 2.

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Q: A ||

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