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## Main Question or Discussion Point

Hello everyone,

Before I ask my question, be informed that I haven't had any formal course in linear algebra, so please forgive me if the question has a well-known answer.

I have two symmetric matrices, A and B. We know the eigenvalues and eigenvectors of A, and B. Now I need to calculate eigenvalues of the product of the two matrices, AB. The questions:

1. Is there a relation between the eigenvalues of AB and those of A and B?

2. If the answer to the above question is no, Can they be of any help in finding the eigenvalues of AB?

Thanks

Before I ask my question, be informed that I haven't had any formal course in linear algebra, so please forgive me if the question has a well-known answer.

I have two symmetric matrices, A and B. We know the eigenvalues and eigenvectors of A, and B. Now I need to calculate eigenvalues of the product of the two matrices, AB. The questions:

1. Is there a relation between the eigenvalues of AB and those of A and B?

2. If the answer to the above question is no, Can they be of any help in finding the eigenvalues of AB?

Thanks