What does diagonalization mean?
Definitions for diagonalization
di·ag·o·nal·iza·tion
This dictionary definitions page includes all the possible meanings, example usage and translations of the word diagonalization.
Princeton's WordNet
diagonalization, diagonalisationnoun
changing a square matrix to diagonal form (with all non-zero elements on the principal diagonal)
"the diagonalization of a normal matrix by a unitary transformation"
ChatGPT
diagonalization
Diagonalization is a process in linear algebra and matrix theory which involves finding a diagonal matrix that is similar to a given square matrix. This process often involves two steps: first, finding the eigenvectors and eigenvalues of the matrix, and then using these to form a new basis in which the matrix takes a diagonal form. The diagonal elements of this diagonal matrix are the eigenvalues of the original matrix. Diagonalization is specifically applicable to those matrices that are diagonalizable, i.e., they have enough eigenvectors to form a basis. It provides a simpler way to understand and compute functions of the matrix.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of diagonalization in Chaldean Numerology is: 6
Pythagorean Numerology
The numerical value of diagonalization in Pythagorean Numerology is: 4
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"diagonalization." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/diagonalization>.
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