Suppose that V is finite dimensional and T : V → V is an operator such that every non-zero vector in V is an eigenvector

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answerhappygod
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Suppose that V is finite dimensional and T : V → V is an operator such that every non-zero vector in V is an eigenvector

Post by answerhappygod »

Suppose that V is finite dimensional and T : V → V is an
operator such that every non-zero vector in V is an eigenvector for
T. Show that T is a scalar multiple of the
identity.
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