The most important result in linear algebra.
Cayley-Hamilton Theorem
An n×n matrix M satisfies its own characteristic polynomialpic.twitter.com/ITPt7UM06B
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There’s a pretty sleazy metric-topological proof of this if the underlying field is R or C! (I’ve heard of there being a slightly more involved topological proof for arbitrary fields)
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damn, you folks even invented your own symbol for the identity matrix
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