| 词汇 | example_english_symmetric-matrix |
| 释义 | symmetric matrixcollocation in Englishmeanings of symmetricaland matrixThese words are often used together. Click on the links below to explore the meanings. Or, see other collocations with matrix. symmetrical adjective uk /sɪˈmet.rɪ.kəl/ us /sɪˈmet.rɪ.kəl/ having two parts that match exactly, either when one half is like an image of the other half in a mirror, or when one part can take the place of another if it is turned 90° ... See more at symmetrical matrix noun uk /ˈmeɪ.trɪks/ us /ˈmeɪ.trɪks/ formal the set of conditions that provides a system in which something grows ... See more at matrix Examples of symmetric matrixThese examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. Any quadratic function can be written as a linear function of a certain symmetricmatrix (depending quadratically on x). However, it is a theorem that all the eigenvalues of a real symmetricmatrix are themselves real. These equations can be discretized to produce symmetricmatrix equations, which are solved by successive line over-relaxation. This follows by considering in this equation the determinant of the symmetricmatrix of coefficients. This can be shown using the spectral + decomposition of a symmetricmatrix. Optimization problems in which the variable is not a vector but a symmetricmatrix which is required to be positive semidefinite have been intensely studied in the last ten years. It is a symmetricmatrix consisting of nine 33 circulant blocks. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. The entries of a symmetricmatrix are symmetric with respect to the main diagonal. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. Therefore, in linear algebra over the complex numbers, it is often assumed that a symmetricmatrix refers to one which has real-valued entries. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. There are three ways to achieve this: as either an upper-triangular matrix, a lower-triangular matrix, or a symmetricmatrix. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. An efficient method of locating these solutions exploits the homogeneous matrix representation of conic sections, i.e. a 3x3 symmetricmatrix which depends on six parameters. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A symmetricmatrix is a matrix whose values are symmetric in the northwest-to-southeast diagonal. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. In linear algebra, a real symmetricmatrix represents a self-adjoint operator over a real inner product space. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. A symmetricmatrix is positive-definite if and only if all its eigenvalues are positive, i.e., the matrix is positive-semidefinite and it is invertible. From Wikipedia This example is from Wikipedia and may be reused under a CC BY-SA license. These examples are from corpora and from sources on the web. Any opinions in the examples do not represent the opinion of the Cambridge Dictionary editors or of Cambridge University Press or its licensors. Want to learn more? Go to the definition of symmetrical Go to the definition of matrix See other collocations with matrix |
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