3. Suppose that TE L(V) is self adjoint. Let v EV, A E F and > 0 be so that ||v||= 1 and ||Tv-Av||

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3. Suppose that Te L(V) is self adjoint. Let v EV, A E F and e > 0 be
so that ||||= 1 and ||Tv-Av|| <e. Show that there is an eigenvalue X' with
IX-X'| <e.
Transcribed Image Text:3. Suppose that Te L(V) is self adjoint. Let v EV, A E F and e > 0 be so that ||||= 1 and ||Tv-Av|| <e. Show that there is an eigenvalue X' with IX-X'| <e.
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