### Question Description

This is a part of Operators on Inner Product Spaces CHAPTER. From book "Linear Algebra

Done Right" Page: 221 & 222.

I need more details and explanation for this Theorem depending on the book only.

I have attached a copy of Theorem and its proof from the book.

### Unformatted Attachment Preview

## Final Answer

All set, let me know if there is anything still confusing you. I suspect that the issue might lie in you not being familiar with something from earlier in the course. Try to pinpoint where you get lost in the explanation so I can help you find out what that is exactly.

Suppose F = R and T E L(V)

A: T is self-adjoint

B: V has orthonormal basis consisting of eigenvectors of T

C: T has a diagonal matrix with resp...

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