# characteristic root

- a scalar for which there exists a nonzero vector such that the scalar times the vector equals the value of the vector under a given linear transformation on a vector space.
- a root of the characteristic equation of a given matrix.

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## Origin of characteristic root

First recorded in 1955–60

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018