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Matrix (mathematics) (redirect from Real matrices)In mathematics, a matrix (pl.: matrices) is a rectangular array or table of numbers, symbols, or expressions, with elements or entries arranged in rows...108 KB (13,450 words) - 23:25, 25 October 2024
Matrix multiplication (redirect from Multiplying matrices)matrix multiplication is a binary operation that produces a matrix from two matrices. For matrix multiplication, the number of columns in the first matrix must...41 KB (6,581 words) - 08:08, 13 October 2024- Determinant (section Two by two matrices)determined by the two following properties: the determinant of a product of matrices is the product of their determinants, and the determinant of a triangular...90 KB (14,257 words) - 20:47, 18 October 2024
- Definite matrix (redirect from Positive-definite matrices)transpose of z . {\displaystyle \ \mathbf {z} ~.} Positive semi-definite matrices are defined similarly, except that the scalars x ⊤ M x {\displaystyle...50 KB (8,593 words) - 21:33, 24 October 2024
- Invertible matrix (redirect from Invertible matrices)result can be multiplied by an inverse to undo the operation. Invertible matrices are the same size as their inverse. An n-by-n square matrix A is called...46 KB (6,986 words) - 16:52, 5 October 2024
In mathematical physics and mathematics, the Pauli matrices are a set of three 2 × 2 complex matrices that are traceless, Hermitian, involutory and unitary...44 KB (7,355 words) - 11:05, 25 October 2024- Identity matrix (redirect from Identity matrices)square matrices have the identity matrix as their product exactly when they are the inverses of each other. When n × n {\displaystyle n\times n} matrices are...6 KB (841 words) - 10:08, 17 October 2024
- Hermitian matrix (redirect from Hermitian matrices)Hermitian matrices are named after Charles Hermite, who demonstrated in 1855 that matrices of this form share a property with real symmetric matrices of always...20 KB (3,013 words) - 18:34, 4 August 2024
- Rotation matrix (redirect from Rotation matrices)article. Rotation matrices are square matrices, with real entries. More specifically, they can be characterized as orthogonal matrices with determinant 1;...99 KB (15,031 words) - 06:23, 11 October 2024
- Transformation matrix (redirect from Transformation Matrices)In linear algebra, linear transformations can be represented by matrices. If T {\displaystyle T} is a linear transformation mapping R n {\displaystyle...24 KB (3,814 words) - 09:05, 30 August 2024
Block matrix (redirect from Block matrices)lines, which break it up, or partition it, into a collection of smaller matrices. For example, the 3x4 matrix presented below is divided by horizontal and...29 KB (4,768 words) - 15:57, 12 August 2024- Random matrix (redirect from Random matrices)distribution. Random matrix theory (RMT) is the study of properties of random matrices, often as they become large. RMT provides techniques like mean-field theory...49 KB (7,081 words) - 12:21, 14 June 2024
Sparse matrix (redirect from Sparse matrices)large sparse matrices are infeasible to manipulate using standard dense-matrix algorithms. An important special type of sparse matrices is band matrix...25 KB (3,200 words) - 22:21, 26 September 2024
Symmetric matrix (redirect from Symmetric matrices)symmetric}}\iff A=A^{\textsf {T}}.} Because equal matrices have equal dimensions, only square matrices can be symmetric. The entries of a symmetric matrix...17 KB (2,812 words) - 16:45, 17 October 2024- Orthogonal matrix (redirect from Orthogonal matrices)orthogonal matrices, under multiplication, forms the group O(n), known as the orthogonal group. The subgroup SO(n) consisting of orthogonal matrices with determinant...36 KB (4,802 words) - 16:45, 22 May 2024
- Diagonalizable matrix (redirect from Diagonalizable matrices)normal matrices are real symmetric (or skew-symmetric) matrices (e.g. covariance matrices) and Hermitian matrices (or skew-Hermitian matrices). See spectral...27 KB (4,691 words) - 04:16, 1 November 2024
Transpose (category Matrices)the transpose is a linear map from the space of m × n matrices to the space of the n × m matrices. ( A B ) T = B T A T . {\displaystyle \left(\mathbf {AB}...20 KB (2,525 words) - 07:55, 7 October 2024- Triangular matrix (redirect from Triangular matrices)below the main diagonal are zero. Because matrix equations with triangular matrices are easier to solve, they are very important in numerical analysis. By...21 KB (3,152 words) - 16:39, 6 October 2024
- Hessian matrix (redirect from Hessian matrices)the sequence of principal (upper-leftmost) minors (determinants of sub-matrices) of the Hessian; these conditions are a special case of those given in...21 KB (3,408 words) - 00:27, 26 October 2024
- of Pauli matrices. The trace of a matrix is the sum of its eigenvalues (counted with multiplicities). Also, tr(AB) = tr(BA) for any matrices A and B of...37 KB (5,493 words) - 10:51, 23 October 2024
- See also: Matrices enPR: mā'trĭsēz, IPA(key): /ˈmeɪtɹɪsiːz/ matrices plural of matrix enPR: mā'trĭsĭz, IPA(key): /ˈmeɪtɹɪsɪz/ matrices plural of matrice
- violation of the copyright owner's exclusive rights, and of all plates, molds, matrices, masters, tapes, film negatives, or other articles by means of which such
- do things with matrices. So they had gone to Hilbert for help and Hilbert said the only time he had ever had anything to do with matrices was when they
- to create your own print based on already-incised images on different matrices. At the end of the workshop, you will be able to take home your new artwork
- Chapter 4: Vector and matrices Vector and Matrices Special Matrices Operation on Vectors Operation on Matrices Sparse Matrices Chapter 5: Array Arrays