Question: True or False: If T: R? R? is a linear transformation so that there is exactly one x R? with T(x) = x, then T

True or False: If T: R? R? is a linear transformation so that there is exactly one x R? with T(x) = x, then T is not invertible (i.e. At, the matrix for T, is not invertible). (This is False - you should create a counterexample, and then justify why it is a counterexample. Hint: you already know such an x for ANY linear transformation!)

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