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With Matrix and

(Q) nd (E0 a l. 0) nd (P) (by the step 5) 』= adj (B) adj (A) so adj (AB) A adj (B) adj (A) permits complete diagnosis of vertebral . Along. . . . WU Mu-sound huge mound AA n-order one by one ~ a 1ZAA one thousand one hundred and eleven nAA ● ● ¨ ¨ uAA one by one one by one OO1EOO). ●,, ● ● ● ● ● ●,christian louboutin københavn, /) ● ● ooo00OOO mouth OO 3 Wang Hangping: With the Matrix and 249 (1) port dj (AlA2 ... A): adj (A) adj (A, a 1) ... adj (A1); (2) adj (A) = (port (A)). Theorem 6: (1) adj (A a) one (mouth dj (A)) A; (2) ladj (A) l-lAl one; (≥ 2) (3) l (port djE (A)) l: lAl (n - 1) k; (4) lad) (AA2.. · A) l A Ⅱ ladj (A.) l A (Ⅱ 1); (5) l port (A) l = l (adj (A) ) l = lAl , then we say A is self-adjoint matrix. Theorem 7: (1) zero matrix, unit matrix are self-adjoint matrix; (2) two self-adjoint matrix of the product from the self-adjoint matrix is necessary and sufficient condition for the two-matrix can be changed; (3) If A is self-adjoint matrix, then one by one lAl lAl (≥ 2); (4) If A is self-adjoint matrix, then A (less than one 1,2,fred perry singapore, ...) but also for self-adjoint matrix; (5) If a non-singular self-adjoint matrix A, then A-1 but also for self-adjoint matrix; (6) If A is self-adjoint matrix, then A is also for the self-adjoint matrix. Theorem 8: (1) A is self-adjoint matrix, if A is not reversible, then the A 10: (2) is a determinant of the matrix A is self-adjoint matrix is a necessary and sufficient condition for the self-inverse matrix A, ie A = A_.. Proof: This is only proof of (1 ): A n-order (≥ 2) self-adjoint matrix, then adj (A) a A,. '. rank (adj (A)) a rank (A), if rank (A) adj (A) a (B); (1O) A definite => adj (A) .5 concluded by discussing the positive definite matrix with various properties, under the proposed general formula with Matrices: mouth (AB) A adj (B) adj (A); and inheritance to start with the matrix is discussed, has been accompanied by the following matrix, with SUI very strong nature of the inheritance. 【References [1] Gu Pei, Ding Longyun. On the pseudo-Euclidean matrix [J]. Nankai University,fred perry pas cher, 2002,louboutin københavn,35 (3); 34-37. [2] HUANG Jing-frequency . With two Generalized Inverse Matrix and Matrix and mouth]. Guangxi University for Nationalities, 2002,15 (2) :6-8. [3] Chen Jingliang, Chen Xianghui. special matrix [M]. Beijing: Tsinghua University Press .2001 [4] Department of Mathematics, Peking University Department of Algebra and Geometry prepared before the algebra group. Higher Algebra (Third Edition) [M]. Beijing: Higher Education Press, 2003.

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