Characteristic Root Of A Square Matrix (Noun)
Meaning
(mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant.
Classification
Nouns denoting cognitive processes and contents.
Examples
- The characteristic root of a square matrix played a crucial role in understanding the properties and behavior of the matrix.
- Laplace developed a method for finding the characteristic root of a square matrix using expansion by minors.
- Finding the characteristic root of a square matrix is essential for the study of its eigenvalues and eigenvectors.
- The algorithm used to calculate the characteristic root of a square matrix consists of a series of steps involving the matrix's elements.
- A fundamental property of the characteristic root of a square matrix is that it remains unchanged under similarity transformations.