What does characteristic root of a square matrix mean?
Definitions for characteristic root of a square matrix
char·ac·ter·is·tic root of a square matrix
This dictionary definitions page includes all the possible meanings, example usage and translations of the word characteristic root of a square matrix.
Princeton's WordNet
eigenvalue, eigenvalue of a matrix, eigenvalue of a square matrix, characteristic root of a square matrixnoun
(mathematics) any number such that a given square matrix minus that number times the identity matrix has a zero determinant
ChatGPT
characteristic root of a square matrix
A characteristic root of a square matrix, also known as an eigenvalue, is a scalar associated with a given square matrix. It is a value such that, when subtracted from each element in the principal diagonal of the matrix and when this difference matrix is multiplied by a non-zero vector (known as the eigenvector), gives the zero vector. These roots are solutions to the characteristic equation of the matrix.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of characteristic root of a square matrix in Chaldean Numerology is: 1
Pythagorean Numerology
The numerical value of characteristic root of a square matrix in Pythagorean Numerology is: 6
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"characteristic root of a square matrix." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/characteristic+root+of+a+square+matrix>.
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