Construct · 1 fields · 1 citations

Cayley-Hamilton theorem: a standalone construct

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Linear algebra

every square matrix satisfies its own characteristic polynomial, so substituting the matrix into that polynomial gives zero.

In linear algebra, Cayley-Hamilton theorem refers to every square matrix satisfies its own characteristic polynomial, so substituting the matrix into that polynomial gives zero. This meaning comes from Cayley (1858) in Philosophical Transactions of the Royal Society of London.[1]

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Nearby constructs

matrix3 fields · 4 citationsjingle · one word, three constructs trace4 fields · 6 citationsjingle · one word, four constructs square1 fields · 1 citationsanchor · a standalone construct

References

Cayley, A. (1858). II. A memoir on the theory of matrices. Philosophical Transactions of the Royal Society of London, 17-37. https://doi.org/10.1098/rstl.1858.0002

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