Diagonalizable matrix
Diagonalizable matrix In linear algebra, a square matrix A is called diagonalizable if it is similar to a diagonal ... map T : V → V is called diagonalizable if there exists a basis of V ... finding a corresponding diagonal matrix for a diagonalizable matrix or linear map. Diagonalizable matrices and maps are of interest ...
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Talk:Diagonalizable matrix
Talk:Diagonalizable matrix What would people think of moving ...
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Eigenvalue, eigenvector and eigenspace
... this is possible the matrix A is diagonalizable. An example of non-diagonalizable matrix is given by the matrix A ... decomposition which can cope with the non-diagonalizable case, suited for different purposes: the singular ... as A = S + N where S is diagonalizable, N is nilpotent (i.e., such that ... uniquely as A = SJ where S is diagonalizable and J is unipotent (i.e., ...
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Bauer-Fike theorem
... of the eigenvalue of a complex-valued diagonalizable matrix. In its substance, it states an ... mathbb{C}^{n,n} be a diagonalizable matrix, and be $V\backslash in\backslash mathbb\; ...\; mathbb\{C\}^\{n,n\}$ be a diagonalizable matrix, and be $V\backslash in\backslash mathbb\; ...\; r\}$ since $A$ is diagonalizable; taking the p-norm of both sides ... C}^{n,n} a non-singular, diagonalizable matrix, and be $V\backslash in\backslash \; ...$
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Logarithm of a matrix
... not unique. Calculating the logarithm of a diagonalizable matrix A method for finding ln A for a diagonalizable matrix A is the following: Find the ... complex number. The logarithm of a non-diagonalizable matrix The algorithm illustrated above does not work for non-diagonalizable matrices, such as $\backslash begin\{bmatrix\}1\; ...$
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Matrix exponential
... one-parameter subgroup. Computing the matrix exponential Diagonalizable case If a matrix is diagonal: diagonalizable matrices. If A = UDU −1 and D ... X = A + N \, where A is diagonalizable N is nilpotent A commutes with N ...
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Jordan normal form
... of matrix diagonalization. A square matrix is diagonalizable if the sum of the dimensions of ... 5I is 1, so A is not diagonalizable. However, we can construct the Jordan form ... a sum D + N where D is diagonalizable, N is nilpotent, and D commutes with ...
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Talk:Logarithm of a matrix
... okay as long as the matrix is diagonalizable (though I seem to remember that it ... of the matrix logarithm works only for diagonalizable matrices. That has to be menioned in ...
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Square root of a matrix
... previous one. This approach works only for diagonalizable matrices. For non-diagonalizable matrices one can do a Jordan decomposition ...
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Hyperbolic partial differential equation
... math> has only real eigenvalues and is diagonalizable. If the matrix $A$ has ... distinct real eigenvalues, it follows it's diagonalizable. In this case the system $(*)$
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