Diagonalizable matrix
Diagonalizable matrix In linear algebra, a square matrix A is called diagonalizable if it is similar to a diagonal matrix, i.e. if there exists an ...
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Talk:Diagonalizable matrix
Talk:Diagonalizable matrix What would people think of moving this ...
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Matrix exponential
Matrix exponential In mathematics, the matrix exponential is a function on square matrices ... to the ordinary exponential function. Abstractly, the matrix exponential gives the connection between a matrix Lie algebra and the corresponding Lie group ... X be a n�n real or complex matrix. The exponential of X, denoted by ...
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Companion matrix
Companion matrix In linear algebra, the companion matrix of the monic polynomial $p(t\; ...\; 1\}\; +\; t^n$ is the square matrix defined as $C(p)=\backslash begin\{bmatrix\; ...\; some\; authors\; use\; the\; transpose\; of\; this$matrix, Wikipedia uses the above convention.) The characteristic ... equal to p; in this sense, the matrix C(p) is the "companion" of ...
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Diagonal matrix
Diagonal matrix In linear algebra, a diagonal matrix is a square matrix in which the entries outside the main ... or may not be zero. Thus, the matrix D = (d i,j ) with n columns ... ldots, n\} For example, the following matrix is diagonal:
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Logarithm of a matrix
Logarithm of a matrix In mathematics, the logarithm of a matrix is a generalization of the scalar logarithm ... some sense an inverse function of the matrix exponential. Definition A matrix B is a logarithm of a given matrix A if the matrix exponential of ...
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Talk:Logarithm of a matrix
Talk:Logarithm of a matrix But the numerical method is only really ... it is okay as long as the matrix is diagonalizable (though I seem to remember that it ... understand by the statement that every nonsingular matrix has a matrix logarithm. Hopefully, I'll manage to ...
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Square root of a matrix
Square root of a matrix The square root of a matrix A is a matrix B such that the matrix product B B is equal to A. Numerical method Given a square matrix A, one way to find its ...
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Eigenvalue, eigenvector and eigenspace
... represented relative to that basis by a matrix T—a two-dimensional array—and respectively a column ... vertical array. The eigenvalue equation in its matrix representation is written $T\backslash ,v\_\backslash lambda\; ...\; v\_\backslash lambda$ where the juxtaposition is matrix multiplication. This is equivalent to a set ... write down the eigenvalue equation in a matrix form. This occurs for instance when the ... transformation is given by a real symmetric matrix or complex Hermitian matrix. If one ...
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List of matrices
... of matrices used in mathematics: (0,1)-matrix or binary matrix - a matrix with all elements either 0 or 1. Adjacency matrix - a square matrix used to represent the connectivity of ...
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