单词 | adjugate |
释义 | adjugateadj.n. Mathematics. A. adj. = adjoint adj. 3. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [adjective] > of array > relating to matrices > qualities adjoint1856 transposed1858 adjugate1867 orthogonal1891 alternant1892 positive definite1904 skew-symmetric1911 skew-symmetrical1911 unipotent1921 Hermitian1927 non-Hermitian1930 1867 C. L. Dodgson in Proc. Royal Soc. 1866–7 15 152 I shall use the word ‘adjugate’ in the following sense:—if there be a square block, and if a new block be formed, such that each of its terms is the determinant of the complemental minor of the corresponding term of the first block, the second block is said to be adjugate to the first. 1882 T. Muir Treat. Theory Determinants ii. 135 The determinant each of whose elements is the co-factor of the corresponding element in another determinant is called the determinant adjugate to that other. 1929 H. W. Turbull Theory Determinants, Matrices, & Invariants iv. 70 There still exists the matrix of elements [αji] where αij is the co-factor of aij in |A|... This is called the adjugate matrix. 1966 Math. Rev. 31 34/2 (title) On the perturbation of eigenvectors and eigenvalues of matrices involving generalized adjugate vectors. 2007 J. Gentle Matrix Algebra iii. 51 (heading) Minors, cofactors, and adjugate matrices. B. n. An adjoint matrix. Cf. adjoint n. 3. ΘΚΠ the world > relative properties > number > mathematical number or quantity > numerical arrangement > [noun] > array > matrix matrix1850 unit matrix1861 adjugate1882 adjoint1889 submatrix1903 identity matrix1908 row matrix1936 transpose1937 singular matrix1964 1882 T. Muir Treat. Theory Determinants ii. 141 All the minors of the adjugate which are of a higher order than the first must also be equal to zero. 1929 H. W. Turbull Theory Determinants, Matrices, & Invariants iv. 67 The determinant..is called the adjugate of Δ. Its elements are the co-factors of the corresponding elements of Δ. 1962 Math. Rev. 23 a599/1 Let A* denote the adjugate of a real n x n matrix A. 2007 J. Gentle Matrix Algebra iv. 147 The fact that the determinant is a continuous function immediately yields the result that cofactors and hence the adjugate are continuous. This is a new entry (OED Third Edition, December 2011; most recently modified version published online December 2021). † adjugatev. Obsolete. rare. transitive. To yoke, to couple; to join. ΘΚΠ the world > relative properties > wholeness > mutual relation of parts to whole > fact or action of being joined or joining > join (together) [verb (transitive)] > couple or yoke together couplec1330 twinc1394 yokea1400 accouple1548 conjugate1570 ingeminate1609 incouple1611 jugate1623 adjugate1730 wive1886 1730 N. Bailey et al. Dictionarium Britannicum Adjugate, to yoke or couple to. 1796 R. G. Waterhouse Diary in E. W. Layman R. G. Waterhouse (1996) ix. 79 My father, Henry Waterhouse..was early in life adjugated to my mother, Elizabeth Green. This entry has been updated (OED Third Edition, December 2011; most recently modified version published online March 2021). < adj.n.1867v.1730 |
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