show any square matrix in C has at least one eigenvalue
Last edited by mr fantastic; Jan 17th 2009 at 07:49 PM.
Reason: Replaced "As title" with the title to assist quoting of the post in replies
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Originally Posted by silversand show any square matrix in C has at least one eigenvalue An matrix will always yield a characteristic equation which is a polynomial of order n.
By the fundamental theorem of algebra, any non-constant single variable polynomial with complex coefficients has at least 1 complex root. Eigenvalues are roots of the characteristic equation.
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