Question: Let T: V V be a linear transformation such that T T = T. (a) Show that {v, T(v)} is linearly dependent if

Let T: V → V be a linear transformation such that T ͦ T = T.
(a) Show that {v, T(v)} is linearly dependent if and only if T(v) = v or T(v) = 0.
(b) Give an example of such a linear transformation with V = R2.

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