eigenspace

/ˈaɪɡɪnˌspæs/

Definitions

1. noun

The vector space that transforms a linear transformation to a scalar, typically used in linear algebra and physics.

“The eigenspace of the matrix A was found to be a crucial component in solving the system of equations.”

2. noun

A subspace of a vector space that contains all the vectors that are mapped to zero by a linear transformation.

“The eigenspace of the linear transformation T was determined to be a two-dimensional subspace of the vector space.”

Synonyms

  • characteristic space
  • eigensubspace

Antonyms

  • general space
  • vector subspace