Question: A linear transformation T : V V is given. If possible, find a basis C for V such that the matrix [T] c of

A linear transformation T : V → V is given. If possible, find a basis C for V such that the matrix [T]c of T with respect to C is diagonal.

T : P1 → P1 defined by T(a + bx) = (4a + 2b) + (a + 3b)x

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