Math geeks: How do i do eigenvalue decomposition of a scalar matrix?

Math geeks: How do i do eigenvalue decomposition of a scalar matrix?
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1 Answer

Answer :

answer:Your information isn’t quite accurate. Finding eigenvalues of scalar matrices is pretty much the easiest thing in the world: they are the scalar value with multiplicity n (where n is the size of the matrix). In your example, the eigenvalues are 0.7 with multiplicity 2 (because it shows up twice). In general, you can easily read the eigenvalues from any triangular matrix (which includes scalar matrices by definition) just by taking the values on the diagonal. You might be getting at something more nuanced than this, though, so please feel free to refine your question and I’ll try my best to help. I used to teach this, and really love linear algebra. This is fun for me. :)
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