Sanakirja
Tekoälykääntäjä
Kuvat 12

(linear algebra) An eigenvalue.

In this shear mapping the red arrow changes direction, but the blue arrow does not. The blue arrow is an eigenvector of this shear mapping because it does not change direction, and since its length is unchanged, its eigenvalue is 1.

(linear algebra) An eigenvalue.

A 2 × 2 real and symmetric matrix representing a stretching and shearing of the plane. The eigenvectors of the matrix (red lines) are the two special directions such that every point on them will just slide on them.

(linear algebra) An eigenvalue.

Matrix A acts by stretching the vector x, not changing its direction, so x is an eigenvector of A.