Definition of Diagonalizable. Meaning of Diagonalizable. Synonyms of Diagonalizable

- 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...
- matrix A satisfying the equation A*A = AA* is diagonalizable. (The converse does not hold because diagonalizable matrices may have non-orthogonal eigenspaces...
- matrix is represented in terms of its eigenvalues and eigenvectors. Only diagonalizable matrices can be factorized in this way. When the matrix being factorized...
- converse is also true; that is, if two diagonalizable matrices commute, they are simultaneously diagonalizable. But if you take any two matrices that...
- &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...
- 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,...
- are said to be diagonalizable. More generally, an endomorphism and a matrix are also said diagonalizable, if they become diagonalizable after extending...
- linearly independent eigenvectors. Not all matrices are diagonalizable; matrices that are not diagonalizable are called defective matrices. Consider the following...