Question: If T: V V is a linear transformation, find T(v) and T(w) if: (a) T(v + w) = v - 2w and T(2v -

If T: V → V is a linear transformation, find T(v) and T(w) if:
(a) T(v + w) = v - 2w and T(2v - w) = 2v
(b) T(v + 2w) = 3v - w and T(v - w) = 2v - 4w

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