Definition of Diagonalizable. Meaning of Diagonalizable. Synonyms of Diagonalizable

Here you will find one or more explanations in English for the word Diagonalizable. Also in the bottom left of the page several parts of wikipedia pages related to the word Diagonalizable and, of course, Diagonalizable synonyms and on the right images related to the word Diagonalizable.

Definition of Diagonalizable

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Meaning of Diagonalizable from wikipedia

- In linear algebra, a square matrix A {\displaystyle A}  is called diagonalizable or non-defective if it is similar to a diagonal matrix. That is, if there...
- 3D manifold of rotation matrices. A method for finding log A for a diagonalizable matrix A is the following: Find the matrix V of eigenvectors of A (each...
- algebraic group is said to be diagonalizable if it is isomorphic to a subgroup of Dn, the group of diagonal matrices. A diagonalizable group defined over a field...
- converse is also true; that is, if two diagonalizable matrices commute, they are simultaneously diagonalizable. But if you take any two matrices that...
- matrix is represented in terms of its eigenvalues and eigenvectors. Only diagonalizable matrices can be factorized in this way. When the matrix being factorized...
- matrix A satisfying the equation A*A = AA* is diagonalizable. (The converse does not hold because diagonalizable matrices may have non-orthogonal eigenspaces...
- are said to be diagonalizable. More generally, an endomorphism and a matrix are also said diagonalizable, if they become diagonalizable after extending...
- eigenvectors of A form a basis if and only if A is diagonalizable. A matrix that is not diagonalizable is said to be defective. For defective matrices,...
- &e^{a_{n}}\end{bmatrix}}.} This result also allows one to exponentiate diagonalizable matrices. If A = UDU−1 then eA = UeDU−1, which is especially easy to...
- some basis). This is extremely useful because com****tions involving a diagonalizable matrix can often be reduced to much simpler com****tions involving the...