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NationMaster - Encyclopedia: Matrix decomposition (348 words) |
 | The rest of the matrix is an n×n orthogonal matrix; thus O(n) is a subgroup of O(n+1) (and of all higher groups). |
| The polar decomposition factors a matrix into a pair, one of which is the unique closest orthogonal matrix to the given matrix, or one of the closest if the given matrix is singular. |
| A matrix of dimension m by 1 is called a column vector; a matrix of dimension 1 by n is called a row vector. |
| Egwald Mathematics - Linear Algebra: Matrices and Matrix Decomposition (3984 words) |
| Thus, an identity matrix is a diagonal matrix with 1's along its diagonal and zeros elsewhere. |
| Matrix addition is commutative, since A + B = B + A. Subtraction of Matrices. |
| The actual L matrix is obtained from the RHS matrix of the final tableau by placing ones along its diagonal. |
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