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    For the matrix with top row [0 0] and bottom row [0 -1], how do you find a nontrivial eigenvector for the eigenvalue 0?
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    Look for a non-trivial vector that gets mapped to (0 0). (It's not hard to find one!)
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    (Original post by DFranklin)
    Look for a non-trivial vector that gets mapped to (0 0). (It's not hard to find one!)
    So there is no specific method for finding eigenvectors that you have to stick to, will any way do as long as you find a vector that works?
    (1,0) works
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    (Original post by swaggersaurusrex)
    So there is no specific method for finding eigenvectors that you have to stick to, will any way do as long as you find a vector that works?
    (1,0) works
    If you find a vector that works, that's sufficient.

    How do you normally find eigenvectors though? I'd have thought the normal method was to look for solutions to A{\bf v} = \lambda {\bf v}. Well when lambda = 0, this is just A{\bf v} = 0, as I said.
 
 
 
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Updated: January 10, 2017
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