What does diagonalisation mean?
Definitions for diagonalisation
di·ag·o·nal·i·sa·tion
This dictionary definitions page includes all the possible meanings, example usage and translations of the word diagonalisation.
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"
Wiktionary
diagonalisationnoun
In matrix algebra, the process of converting a square matrix into a diagonal matrix, usually to find the eigenvalues of the matrix.
Etymology: diagonal + -isation
ChatGPT
diagonalisation
Diagonalisation in linear algebra is the process of finding a corresponding diagonal matrix for a given square matrix. It involves re-expressing the square matrix as the product of three matrices: an invertible matrix, a diagonal matrix, and the inverse of the invertible matrix. The elements of the diagonal matrix are the eigenvalues of the original matrix, and the columns of the invertible matrix are the corresponding eigenvectors. This process allows the simplification of many calculations and is extensively used in several areas of mathematics and engineering.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of diagonalisation in Chaldean Numerology is: 2
Pythagorean Numerology
The numerical value of diagonalisation in Pythagorean Numerology is: 6
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"diagonalisation." Definitions.net. STANDS4 LLC, 2024. Web. 19 Apr. 2024. <https://www.definitions.net/definition/diagonalisation>.
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