noun
- vectors that remain in the same direction when a linear transformation is applied to them, changing only in magnitude
Usage: mathematics; linear algebra
Examples
- The matrix has three distinct eigenvectors corresponding to different eigenvalues.
- Students struggled to visualize how eigenvectors behave under linear transformations.
- Principal component analysis relies heavily on computing eigenvectors of covariance matrices.
- The eigenvectors of a symmetric matrix are always orthogonal to each other.
- Finding eigenvectors is essential for solving many problems in quantum mechanics.
- The software calculated the eigenvectors automatically using numerical methods.