
	Where results make sense

Topic: Adjugate

	Adjugate
		In linear algebra, the adjugate of a square matrix is a matrix which plays a role similar to the inverse of a matrix; it can however be defined for any square matrix without the need to perform any divisions.
		Suppose R is a commutative ring and A is an n-by-n matrix with entries from R.
		The adjugate appears in the formula of the derivative of the determinant.
	www.ebroadcast.com.au /lookup/encyclopedia/ad/Adjugate.html (206 words)

	PlanetMath: adjugate
		The adjugate is also known as the classical adjoint, to distinguish it from the usual usage of “adjoint” which denotes the conjugate transpose operation.
		Thus, the adjugate operation is closely related to the matrix inverse.
		This is version 14 of adjugate, born on 2002-11-17, modified 2006-09-07.
	planetmath.org /encyclopedia/MatrixAdjoint.html (167 words)

	The word ``adjoint'' (Site not responding. Last check: 2007-10-13)
		It can be computed without ever using division, so potentially the adjugate can be useful in applications where an inverse matrix does not exist.
		Unfortunately, the adjugate matrix is sometimes called the adjoint matrix, particularly in the older literature.
		Because of the confusion of multiple meanings of the word adjoint, in the first printing of PVI I avoided the use of the word and substituted the definition, ``conjugate transpose''.
	sepwww.stanford.edu /public/docs/gem/ajt/paper_html/node20.html (169 words)

	Adjugate matrix - Wikipedia, the free encyclopedia
		In linear algebra, the adjugate or classical adjoint of a square matrix is a matrix which plays a role similar to the inverse of a matrix; it can however be defined for any square matrix without the need to perform any divisions.
		The adjugate has sometimes been called the "adjoint", but that terminology is ambiguous.
		That is, the adjugate of A is the transpose of the "cofactor matrix" (C
	en.wikipedia.org /wiki/Adjugate (434 words)

	Amazon.com: Adjugate: Books (Site not responding. Last check: 2007-10-13)
		by using the determinant and the adjugate, a matrix whose (i, J) entry is found by calculating...
		The term adjugate is sometimes used in place of adjoint to avoid confusion...
		,-/-A) The notation adj(:.1 A) indicates the adjugate of the matrix ;./ A (not to be confused with...
	www.amazon.com /s?ie=UTF8&keywords=Adjugate&tag=httpexplaguid-20&index=books&link_code=qs&page=1 (652 words)

	MATLAB Central File Exchange - Adjugate (adjoint) of a Square Matrix (Site not responding. Last check: 2007-10-13)
		Calculates the adjugate (adjoint) matrix for a square matrix.
		For any n x n matrix, A, with real or complex-valued elements, whether singular or not, its adjugate (also known as its adjoint) matrix, adj(A), is calculated.
		The definition of the adjugate (adjoint) of matrix A is a matrix in which its element in the i-th row and j-th column is the cofactor of the element of A in the j-th row and i-th column.
	www.mathworks.com /matlabcentral/fileexchange/loadFile.do?objectId=12692&ref=rssfeed&id=mostRecentFiles (318 words)

	Game-playing students (Site not responding. Last check: 2007-10-13)
		A typical pitfall for the student is to discover that Maple (or AXIOM or whatever) can solve matrix systems with symbolic entries, and then to attempt to use first-year linear algebra concepts such as matrix inverses to solve problems with lots of parameters.
		For example, a general three-by-three matrix system has nine parameters, and each entry in its adjugate is a combination of four of these parameters; the determinant has 6 terms each containing three parameters.
		Many students (and faculty) get annoyed when the computer `goes away' when they ask it to find the symbolic inverse of, say, an eight-by-eight system, little dreaming that it is they who are being unreasonable, because the size of the answer grows more than exponentially with the dimension of the problem.
	oldweb.cecm.sfu.ca /publications/organic/rutgers/node16.html (443 words)

	Math Forum - Ask Dr. Math (Site not responding. Last check: 2007-10-13)
		The two ways that are normally used are either row operations or finding the adjugate matrix.
		We write the cofactors in the transposed positions as shown, and use the rule of signs with alternating + and - signs.
		The adjugate matrix is then: [A1 A2 A3
	mathforum.org /library/drmath/view/55490.html (403 words)

	MATLAB Central - Newsreader - How do I compute an adjunct matrix? (Site not responding. Last check: 2007-10-13)
		adjugate of matrix A. Formally, the adjoint is the same as the
		> adjugate of matrix A. Formally, the adjoint is the same as the
		adjugate) of a square matrix A even if it is not invertible.
	newsreader.mathworks.com /WebX?14@0.z2KPbDVbP4w@.ef43d33 (1371 words)

	Ray Triangle Collision - GPWiki
		The method I used is that shown in Inversion of 3 x 3 matrices
		where det(M) is the determinant of M, and adj(M) is the adjugate of M
		Notice that row 3 of the matrix was already calculated when we calculated c.
	gpwiki.org /index.php/Ray_Triangle_Collision (607 words)

	Journal of Research (Science) - Bahauddin Zakariya University, Multan, Pakistan.
		Abstract: Fisher and Yates established twenty-two transformation sets for 6x6 Latin squares in 1934, which have been shown to belong to 12 adjugate classes.
		Equivalence between the adjugate classes of Fisher and Yates and 12 species of Schonhardt has also been shown.
		Keywords: Adjugate squares, automorphism group, Graeco-Latin square, Latin squares, transformation set.
	www.bzu.edu.pk /jrscience/vol15no1/11.asp (119 words)

	adjugate - OneLook Dictionary Search
		We found 7 dictionaries with English definitions that include the word adjugate:
		Tip: Click on the first link on a line below to go directly to a page where "adjugate" is defined.
		Adjugate : Online Plain Text English Dictionary [home, info]
	www.onelook.com /?w=adjugate (98 words)

	Cramer's rule - Wikipedia, the free encyclopedia
		Let R be a commutative ring, A an n×n matrix with coefficients in R.
		where Adj(A) denotes the adjugate of A, det(A) is the determinant, and I is the identity matrix.
		A good way to use Cramer's rule on a 2×2 matrix is to use this formula:
	en.wikipedia.org /wiki/Cramer's_rule (349 words)

	OEDILF - Word Lookup
		You'll do it, by hook or by crook!"
		Adjugate (AJ-oo-git or AJ-oo-gate) means "to yoke to." Also, in linear algebra, the adjugate of a square matrix is a matrix which plays a role similar to the inverse of a matrix; it can, however, be defined for any square matrix without the need to perform any divisions, whatever that means.
		The information on this page may not be reproduced in any form without written permission by the.
	www.oedilf.com /db/Lim.php?Word=adjugate (159 words)

	adjugate (classical adjoint) problem Text - Physics Forums Library (Site not responding. Last check: 2007-10-13)
		adjugate (classical adjoint) problem Text - Physics Forums Library
		Physics Help and Math Help - Physics Forums > Science Education > Academic and Career Guidance > Homework Help Archive > adjugate (classical adjoint) problem
		View Full Version : adjugate (classical adjoint) problem
	www.physicsforums.com /archive/index.php/t-91220.html (74 words)

	Post a reply (via CobWeb/3.1 planetlab2.isi.jhu.edu) (Site not responding. Last check: 2007-10-13)
		In most of my classes the conjugate transpose was > called "Hermitian conjugate" whereas the adjugate was only ever > mention in control systems classes, never in math classes.
		The above is also known as the >> adjugate of matrix A. Formally, the adjoint is the same as the >> conjugate transpose of A. >> B = A.' ; % adjoint >> >> B = det(A) * inv(A) ; % adjugate, for square invertible matrices >> >> hth >> Jos
		Type the characters you see in the picture above.
	newsreader.mathworks.com.cob-web.org:8888 /WebX?addMessage@@.ef43d33/6 (372 words)

	vi reference card
		The deleted text will be in the buffer with the used letter.
		If is used as buffer name, the adjugate buffer will be augmented instead of overwritten with the text.
		The undo buffer always contains the latest change.
	my.pages.de /vi-refcard.html (1572 words)

Try your search on: Qwika (all wikis)