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Your Trail Index > Statistics > matrix Table of Contents [show]     1 Matrix in linear algebra       1.1 square matrix         1.1.1 trace of a square matrix         1.1.2 determinant of a square matrix Keywords Cayley Eric Weisstein, Sylvester Eric Weisstein, World of Biography Copyright Information This article is licensed under GNU Public License. Contact webmasters for more information on copyright issues. 1 Matrix in linear algebra A matrix is an m by n array of numbers. [MATHWORLD] A matrix is a concise and useful way of uniquely representing and working with linear transformations. In particular, for every linear transformation, there exists exactly one corresponding matrix, and every matrix corresponds to a unique linear transformation. The matrix, and its close relative the determinant, are extremely important concepts in linear algebra, and were first formulated by Sylvester Eric Weisstein's World of Biography (1850) and Cayley Eric Weisstein's World of Biography. [MATHWORLD] 1.1 square matrix A matrix is a square matrix is it is n by n. 1.1.1 trace of a square matrix The trace of a square matrix is the sum of all diaginal items. 1.1.2 determinant of a square matrix The determiance of square matrix a,b c,d is ab-bc. And then recursively, the determinant of a random square matrix is the sum of (any item in the ith row times the determinant of the matrix without row i and column j, where j is the column number). Comments References [MATHWORLD] http://mathworld.wolfram.com/Matrix.html Webster Unabridged Ma"trix (mā"tr&ibreve;ks), n.; pl. Matrices (măt"r&ibreve;*sēz). [L., fr. mater mother. See Mother, and cf. Matrice.] 1. (Anat.) The womb. All that openeth the matrix is mine. Ex. xxxiv. 19. 2. Hence, that which gives form or origin to anything; as: (a) (Mech.) The cavity in which anything is formed, and which gives it shape; a die; a mold, as for the face of a type. (b) (Min.) The earthy or stony substance in which metallic ores or crystallized minerals are found; the gangue. (c) pl. (Dyeing) The five simple colors, black, white, blue, red, and yellow, of which all the rest are composed. 3. (Biol.) The lifeless portion of tissue, either animal or vegetable, situated between the cells; the intercellular substance. 4. (Math.) A rectangular arrangement of symbols in rows and columns. The symbols may express quantities or operations. (search time: -517.045 msec) Medical matrix: breeder female, place of development (search time: 0.511 msec) English-Chinese Matrix ['meitriks] ¾ØÕó¾ØÕó¾ØÕó,ĸÌå,×Ó¹¬,ϸ°û,Âöʯ,Ä£ÐÍ (search time: 574.666 msec)