A diagonal matrix is a square matrix for which all the off-diagonal ... le i \le n, 1 \le j \le n} is a n \times n matrix. We say that A is a diagonal ... ...
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A square matrix is a matrix where the number of rows equals the number ... A n \times n square matrix is also called a square matrix of order ... ...
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A scalar matrix can be defined in the following equivalent ways: * It is a diagonal matrix where all the diagonal entries are equal ... ...
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A symmetric matrix is a square matrix that equals its own matrix transpose ... le i \le n, 1 \le j \le n} is a n \times n matrix. We say that A is symmetric ... ...
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A bisymmetric matrix is a square matrix that satisfies the following ... # It is both a defining ingredient::symmetric matrix and a defining ... ...
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A square matrix is termed a permutation matrix if it satisfes both ... Note that assuming that the matrix is an invertible matrix, the two ... ...
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Suppose n is a positive integer and A is a n \times n square matrix ... | Weaker than::symmetric positive-definite matrix || || || || P-matrix ... ...
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A square matrix is termed an orthogonal matrix if its matrix transpose ... Suppose n is a positive integer. A n \times n square matrix A = (a_{ij} ... ...
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A centrosymmetric matrix is a square matrix that commutes with the ... Suppose n is a positive integer. A n \times n matrix A = (a_{ij})_{1 ... ...
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#redirect Metzler matrix ... ...
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A square matrix is termed a Metzler matrix', quasipositive matrix ... Suppose n is a positive integer. A n \times n square matrix A = (a_{ij} ... ...
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#redirect row echelon form ... ...
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Naive matrix multiplication refers to the naive algorithm for executing ... le i \le m, 1 \le j \le n} is a m \times n matrix and B = (b_{jk})_{1 \le j ... ...
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A square matrix is termed an upper triangular matrix if all its entries ... Suppose n is a positive integer. A n \times n square matrix A = (a_{ij} ... ...
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#redirect Metzler matrix ... ...
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This category lists square matrix properties. Given any square matrix, it either satisfies or does not satisfy the stated property. ... ...
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A square matrix is termed a skew-symmetric matrix if is negative equals ... le i \le n, 1 \le j \le n} is a n \times n matrix. We say that A is skew=symmetric ... ...
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#redirect Skew-symmetric matrix ... ...
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Suppose m,n are positive integers and A is a m \times n matrix. The ... The density of the matrix can also be defined as 1 minus its sparsity. ... ...
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Suppose m,n are positive integers and A is a m \times n matrix. The ... The sparsity of the matrix can also be defined as 1 minus its density ... ...
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#redirect Bandwidth of a matrix ... ...
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A square matrix is termed a Metzler matrix', quasipositive matrix ... Suppose n is a positive integer. A n \times n square matrix A = (a_{ij} ... ...
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#redirect Metzler matrix ... ...
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#redirect Metzler matrix ... ...
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Suppose n is a positive integer and A is a n \times n square matrix ... e., A is a defining ingredient::symmetric matrix: it equals its matrix transpose ... ...
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Suppose n is a positive integer and A is a n \times n square matrix ... | Weaker than::symmetric positive-definite matrix || || || || P-matrix ... ...
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le i \le n, 1 \le j \le n} is a n \times n square matrix. ... When we say that a matrix has a given bandwidth (respectively, a given ... ...
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#redirect Bandwidth of a matrix ... ...
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#redirect Bandwidth of a matrix ... ...
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Suppose m,n are positive integers and A is a m \times n matrix. The ... The density of the matrix can also be defined as 1 minus its sparsity. ... ...
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A square matrix is termed an upper triangular matrix if all its entries ... Suppose n is a positive integer. A n \times n square matrix A = (a_{ij} ... ...
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A square matrix is termed a permutation matrix if it satisfes both ... Note that assuming that the matrix is an invertible matrix, the two ... ...
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A matrix is said to be a row echelon matrix, or is said to be in row echelon form, if it satisfies the following conditions:
* All nonzero rows ... ...
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===A matrix being in reduced row echelon form=== A matrix is said to be a reduced row echelon matrix, or said to be ... ...
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Suppose n is a positive integer, A is an invertible n \times n matrix ... * The matrix A + \vec{u}\vec{v}^T is invertible if and only if the ... ...
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===For a matrix with real entries=== Suppose m,n are positive integers and A is a m \times n matrix. The ... ...
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* If the matrix is a symmetric positive-definite matrix, the log-determinant ... * If the matrix is not positive-definite, the log-determinant is defined ... ...
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Naive matrix multiplication refers to the naive algorithm for executing ... le i \le m, 1 \le j \le n} is a m \times n matrix and B = (b_{jk})_{1 \le j ... ...
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Suppose m,n are positive integers and A is a m \times n matrix. The ... The sparsity of the matrix can also be defined as 1 minus its density ... ...
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The main diagonal or principal diagonal of a square matrix is defined as the set of positions (and corresponding entries) in the matrix where ... ...
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