Question: Suppose that T : V - V satisfies T2 = I. 1. Prove that the only possible eigenvalues of T are 1 = -1 and

Suppose that T : V - V satisfies T2 = I. 1. Prove that the only possible eigenvalues of T are 1 = -1 and 1 = +1. 2. Show that the eigenspaces of T satisfy: E+1 n E-1 = {}. 3. Conclude that V = E+1 0 E-1

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