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Finite-dimensional Inner Product Assignment | Assignment Help Services

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September 12th, 2019

Completely lost in this question any help would mean so much, practice midterm question.

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Let V be a finite-dimensional inner product space and suppose that Sand T are self-adjoint. Prove that if ST 2 TS then there exists anorthonormal basis (’01, . . . gun) of V which is an eigenbasis for both 8and T. (hint: the A-eigenspace for 8′ is invariant for T and Vice versa)

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