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Hi all.

Let's say that I have a Hermitian 2x2 matrixAwith two distinct eigenvalues, and thus two eigenvectors.

Question 1:What space is it they span? Is itR^{2}?

Now let us say I have another Hermitian 2x2 matrixBwith two distinct eigenvalues, and thus two eigenvectors.

Question 2:Do the eigenvectors ofBspan the same space as the eigenvectors ofA?

Thanks in advance.

Sincerely,

Niles.

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# Homework Help: Linear Algebra: Hermitian Matrices

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