(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

for 2 matrices, A and B

A=

a 0 0

0 -a 0

0 0 -a

B=

b 0 0

0 0 -ib

0 ib 0

Find three orthonormal vectors which are simultaneous eigenvectors of A and B.

2. Relevant equations

3. The attempt at a solution

I am very new to matrix math. The first thing that confused me was the use of the term "simultaneous eigenvectors." I looked through a bunch of books without finding it, so I assume the question is asking in general for 3 vectors that are also eigenvectors of the matrices. I understand the term orthonormal (both orthogonal and normalized). I'm kind of stuck on where to start. I tried getting eigenvalues for the matrices but the answers didn't seem to make sense.

Any help would be greatly appreciated.

-Eric

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Homework Help: Orthonormal vectors

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