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	Minor (linear algebra) - Wikipedia, the free encyclopedia
		In linear algebra, a minor of a matrix is the determinant of a certain smaller matrix.
		A k×k minor of A is the determinant of a k×k matrix obtained from A by deleting m-k rows and n-k columns.
		for the k×k minor of A that corresponds to the rows with index in I and the columns with index in J.
	en.wikipedia.org /wiki/Minor_(linear_algebra) (552 words)

	Minor (graph theory) - Wikipedia, the free encyclopedia
		In graph theory, a graph H is called a minor of the graph G if H is isomorphic to a graph that results from G by zero or more edge contractions or edge deletions, or deletions of disconnected vertices.
		The relation "being a minor of" is a partial order on the isomorphism classes of graphs.
		In linear algebra, there is a different unrelated meaning of the word minor.
	en.wikipedia.org /wiki/Minor_(graph_theory) (245 words)

	Minor (linear algebra) -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-07)
		In (The part of algebra that deals with the theory of linear equations and linear transformation) linear algebra, a minor of a (A rectangular array of elements (or entries) set out by rows and columns) matrix is the (A determining or causal element or factor) determinant of a certain smaller matrix.
		If all the cofactors of a square matrix A are collected to form a new matrix of the same size, one obtains the (Click link for more info and facts about adjugate) adjugate of A, which is useful in calculating the (Something inverted in sequence or character or effect) inverse of small matrices.
		A more systematic, algebraic treatment of the minor concept is given in (Click link for more info and facts about multilinear algebra) multilinear algebra, using the (Click link for more info and facts about wedge product) wedge product.
	www.absoluteastronomy.com /encyclopedia/m/mi/minor_(linear_algebra).htm (699 words)

	minor (Site not responding. Last check: 2007-10-07)
		Minor is a legal term for a young person, see Minor (law).
		a minor of a square matrix is the determinant of a certain smaller matrix, see Minor (linear algebra)
		Minor is a scale, chord, or interval in music, see Minor scale, minor chord, minor third, minor sixth, relative minor/major, parallel minor/major.
	www.yourencyclopedia.net /Minor.html (193 words)

	American Mathematical Monthly, The: Linear Algebra/Linear Algebra and its Applications/Linear Algebra: A Geometric ... (Site not responding. Last check: 2007-10-07)
		In 1990 several respected linear algebraists formed the Linear Algebra Curriculum Study Group (LACSG) to explore how well linear algebra education was meeting the needs of mathematics and of the client disciplines, and how linear algebra education might be better focused.
		That meeting generated five major recommendations [3]: (i) A first course in linear algebra must respond to the needs of the client disciplines, (ii) A first course in linear algebra should be a matrix-oriented course, (iii) A first course should be organized around students' needs as learners.
		The first component of this recommendation has received different treatments from different authors, although most authors begin their development of linear algebra with motivating examples cast in the context of R^sup 2^ or R^sup 3^; and the second component is addressed by the wealth of problems that play an integral role in each text.
	www.findarticles.com /p/articles/mi_qa3742/is_200503/ai_n13248023 (1114 words)

	Linear Algebra - Preliminary lectures (Site not responding. Last check: 2007-10-07)
		Linear Algebra consists mostly of studying matrix calculus.
		Linear Algebra allows for formalising and solving many typical problems in different engineering topics.
		Linear Algebra is then useful for solving problems in such a context with applications in topics such as Physics, Fluid Dynamics, Signal Processing and, more generally Numerical Analysis.
	vision.unige.ch /~marchand/teaching/linalg/linalg.html (1819 words)

	The Math Forum - Math Library - Linear Algebra
		Linear algebra, sometimes disguised as matrix theory, considers sets and functions which preserve linear structure.
		A discussion around reform of the curriculum and the teaching of calculus and linear algebra, including differential equations, a mix of theoretical issues and concrete practices.
		Maple worksheets for courses in single- and multi-variable calculus, linear algebra, abstract algebra, and cryptography and coding theory may be downloaded here.
	mathforum.org /library/topics/linear (2265 words)

	Applied Linear Algebra, Summer 2003
		Linear operators, quadratic forms, and their matrix representations.
		Prior exposure to Linear Algebra at the Undergraduate level is expected, allowing the course to begin with Section 3.6 of the text.
		In addition, there is a trend line (the best least squares fit of a linear function to the data) and lines showing the position of totals of 90%, 80% and 70%.
	www.math.rutgers.edu /courses/550A/550-u03 (717 words)

	Minor (Site not responding. Last check: 2007-10-07)
		In academia, a ''minor'' is a secondary focus of a Bachelor's degree; the primary focus is a major.
		''Minor'' is a Musical scalescale, chord (music)chord, or interval (music)interval in music, see Minor scale, minor chord, minor third, minor sixth, relative minor or major, parallel minor/major.
		LONG BEACH â” A young woman suffered minor injuries when she was thrown more than 20 feet after getting hit by a commuter train Wednesday afternoon.
	www.infothis.com /find/Minor (344 words)

	Scientific Computing FAQ: Symbolic Algebra (Site not responding. Last check: 2007-10-07)
		Jacal is a symbolic mathematics system for the simplification and manipulation of equations and single and multiple valued algebraic expressions constructed of numbers, variables, radicals, and algebraic functions, differential, and holonomic functions.
		It is somewhat related to a Computer Algebra System, but is not really one since it treats symbolic expressions as mathematical entities such as polynomials, series, matrices, etc..., and not as expressions per se.
		GRTensorII is a computer algebra package for performing calculations in the general area of differential geometry.
	www.mathcom.com /corpdir/techinfo.mdir/scifaq/q520.html (1321 words)

	Powell's Books - Linear Algebra Done Right (2ND 97 Edition) by S. Axler (Site not responding. Last check: 2007-10-07)
		Every discipline of higher mathematics evinces the profound importance of linear algebra in some way, either for the power derived from its techniques or the inspiration offered by its concepts.
		This text for a second course in linear algebra is aimed at math majors and graduate students.
		The approach is novel, banishing determinants to the end of the book and focusing on the central goal of linear algebra: understanding the structure of linear operators on vector spaces.
	www.powells.com /cgi-bin/biblio?isbn=0387982582 (588 words)

	Minor league baseball Information (Site not responding. Last check: 2007-10-07)
		* ''Minor'' is a legal term for a young person, see Minor (law).
		a ''minor'' of a square matrix is the determinant of a certain smaller matrix, see Minor (linear algebra**)
		* ''Minor'' is a Musical scalescale, chord (music)chord, or interval (music)interval in music, see Minor scale, minor chord, minor third, minor sixth, relative minor or major, parallel minor/major.
	www.echostatic.com /Minor_league_baseball.html (120 words)

	Amazon.com: Books: Algebra (Graduate Texts in Mathematics) (Site not responding. Last check: 2007-10-07)
		Algebra fulfills a definite need to provide a self-contained, one volume, graduate level algebra text that is readable by the average graduate student and flexible enough to accomodate a wide variety of instructors and course contents.
		For me this is the strength of algebra (In geometry I cringe when I get a picture for proof, and in analysis it is often quite complicated to verify that a given situation possesses the appropriate conditions needed to invoke some famous lemma or theorem).
		The applications of algebra permeate all fields of human endeavor, and for students, both at the elementary level and advanced graduate level, it can be a subject that is esoteric and on the surface removed from real world applications.
	www.amazon.com /exec/obidos/tg/detail/-/0387905189?v=glance (1483 words)

	The Minor in Mathematics (Site not responding. Last check: 2007-10-07)
		Admission into the Mathematics minor is upon approval of the chairperson of the Department of Mathematics.
		A "C" or better in Math 161 and all Math courses already taken which count toward a Math minor is required for admission.
		A mathematics minor taking any Math course required as a prerequisite for a later Math course must earn a grade of "C" or better in that course before being admitted to the later course for which it is a prerequisite.
	marauder.millersville.edu /~math/degree_programs/minor.html (171 words)

	Amazon.ca: Books: Linear Algebra Done Right (Site not responding. Last check: 2007-10-07)
		I had this for an intermediate course on linear algebra (after the 1st course on abstract algebra) and I thought it was good for the level I was at.
		This is a short, elegant presentation of linear algebra appropriate for upper level undergraduate math majors with a theoretical bent.
		As a graduate student in engineering at UC Berkeley, linear algebra is an essential tool for research and problem solving.
	www.amazon.ca /exec/obidos/ASIN/0387982582 (953 words)

	MTH-2A24 : Algebra II (Site not responding. Last check: 2007-10-07)
		It leads on from Algebra I which is a prerequisite and continues with this introduction to contemporary algebra and axiomatic methods in mathematics.
		The notions of algebraic numbers, algebraic integers are introduced with minor comments.
		At this stage will be introduced algebraic number and algebraic integers, the main figures of algebraic number theory.
	www.mth.uea.ac.uk /maths/syllabuses/0304/2A2404.html (453 words)

	MINOR FACTS AND INFORMATION (Site not responding. Last check: 2007-10-07)
		The term ''minor'' (from Latin "smaller, lesser") may refer to:
		''minor'', a secondary focus of a '''Bachelor's degree.
		Minor_(linear_algebra), for a given matrix, its minor is the determinant of a certain smaller matrix.
	www.witwib.com /index.php?s=minor (80 words)

	MATH 223, Linear Algebra, 3 credits (Site not responding. Last check: 2007-10-07)
		Usually, you should choose this course if you are in a Mathematics Faculty or Minor program or in a non-Mathematics program that does not explicitly require you to take one of the other linear algebra courses.
		Note that Faculty of Arts students doing a minor concentration in Mathematics should take the MATH 235, MATH 236 sequence if they wish to leave open the option of expanding their program into a Major concentration.
		A certain amount of basic linear algebra is taught in Ordinary Differential Equations and Linear Algebra (MATH 263) but this amounts to only about 40% of the course and is not equivalent to any of the other courses in this list.
	www.math.mcgill.ca /students/math223.php?pfv=1 (293 words)

	Linear algebra.... wtf (Site not responding. Last check: 2007-10-07)
		I had exam from linear algebra two years ago and i remember it was nothing hard.
		However I did not care much about my linear alegebra class (since it was the last math class I would ever have to take) and only memorized the necessary information on a short term basis.
		I could help you if you were sitting right next to me, as I passed my exam of Linear Algebra on September, but I really don't think anyone can explain a 3 weeks course of Linear Algebra on internet.
	www.teamliquid.net /forum/viewmessage-21372.html (1192 words)

	Linear Algebra Part Three
		On the other hand, textbooks of beginning Linear Algebra assume that the student already knows determinants; thus they neither define determinants nor present algorithms for their calculation.
		The minor of an element is the matrix obtained by removing the row and the column which contain the given element.
		Depending on the parity of the taxicab-metric distance from the left-upper corner of the original matrix to the given element, a minus sign is to be prefixed for an odd parity.
	www.rism.com /LinAlg/LAthree.htm (4886 words)

	Linear Algebra with Maple
		The Hilbert matrix is a favorite example of numeric (as opposed to symbolic) linear algebra.
		The Hilbert matrix is badly conditioned, which means that it corresponds to a system of linear equations which are hard to solve accurately.
		This means that errors [for example in the measured values of the right-hand side of the equations] may be multiplied by a factor of nearly a million!
	www.indiana.edu /~statmath/math/maple/linalg.html (602 words)

	Amazon.ca: Books: Linear Algebra Done Right (Hardcover) (Site not responding. Last check: 2007-10-07)
		Acclaimed as the most original linear algebra book to appear in years, this bestselling book has been extensively rewritten and updated with many new illustrations and three new sections.
		The book focuses on the central goal of linear algebra: understanding the the structure of linear operators on vector spaces, using a variety of interesting exercises in each chapter.
		None of the other popular books on linear algebra presents normed-vector spaces and their operators or the proof of the Jordan canonical form as precise and rigorous as this book.
	www.amazon.ca /exec/obidos/ASIN/0387982590 (955 words)

	Amazon.com: Books: Linear Algebra Done Right (Site not responding. Last check: 2007-10-07)
		Linear Algebra : An Introduction to Abstract Mathematics (Undergraduate Texts in Mathematics) by Robert J. Valenza
		Linear maps from a finite dimensional vector space to another finite dimensional vector space can be represented by a matrix.
		linear maps instead of matrices), it is not "watered-down", and yet it is accessible to undergrads.
	www.amazon.com /exec/obidos/tg/detail/-/0387982582?v=glance (1578 words)

	[No title]
		All courses for the minor must be taken for a letter grade and completed with a C (2.0) or better, and students must have a cumulative grade point average of 2.5 in Anthropology courses.
		The minor in Economics, in conjunction with the secondary school certificate, is very similar to the major, but with a smaller number of credits needed (24) and careful counseling with the student as to which courses to emphasize.
		All courses for the minor must be taken for a letter grade and completed with a C (2.0) or better, and students must have a cumulative grade point average of 2.5 in Sociology courses.
	www.utah.edu /unicomm/majors/minors.htm (6824 words)

	Spring 2003 Elementary Linear Algebra
		Linear maps that are rotations in 3-D space
		Some minor typographical errors have been corrected in problem 4 of Homework 2.
		On homework 1, Lauren used a definition for REF that requires all pivot elements to be equal to 1.
	www4.ncsu.edu /~kaltofen/courses/LinAlgebra/Spring03 (905 words)

	Matrices and determinants (Site not responding. Last check: 2007-10-07)
		In the 1812 paper the multiplication theorem for determinants is proved for the first time although, at the same meeting of the Institut de France, Binet also read a paper which contained a proof of the multiplication theorem but it was less satisfactory than that given by Cauchy.
		Eisenstein in 1844 denoted linear substitutions by a single letter and showed how to add and multiply them like ordinary numbers except for the lack of commutativity.
		Turnbull and Aitken wrote influential texts in the 1930's and Mirsky's An introduction to linear algebra in 1955 saw matrix theory reach its present major role in as one of the most important undergraduate mathematics topic.
	www-history.mcs.st-and.ac.uk /history/HistTopics/Matrices_and_determinants.html (2604 words)

	Linear Algebra Math 20F Spring 2003
		Course Description: Linear Algebra is a collection of ideas related to the solution of linear equations.
		When the student enters the work world, the theoretical concepts of linear algebra are used together with the computer to produce solutions.
		By the end of the course, the student should be able to communicate to a stranger the significance of linear algebra and how the student might find it useful to him or her personally.
	math.ucsd.edu /~jimlin/math20f/Math-20FSpring2003.html (2239 words)

	Applied Linear Algebra, Summer 2004
		In addition, there is a trend line (the best least squares fit of a linear function to the data) and a line showing the position of total of 80 points out a maximum of almost 100.
		In addition, there is a trend line (the best least squares fit of a linear function to the data) and lines showing the position of totals of 130, 120, and 110 out of a maximum of about 145.
		Grades above 130 show a good command of the work so far, and should lead to a grade of 'A' for the course, although an exam total below 90 indicates that mastery of some topics needs to be shown on the final.
	www.math.rutgers.edu /courses/550A/550-u04 (1095 words)

	Linear Algebra Done Right Excerpts from Reviews (Site not responding. Last check: 2007-10-07)
		Axler demotes determinants (usually quite a central technique in the finite dimensional setting, though marginal in infinite dimensions) to a minor role.
		To so consistently do without determinants constitutes a tour de force in the service of simplicity and clarity; these are also well served by the general precision of Axler's prose...
		I congratulate the author and the publisher for a well-produced textbook on linear algebra.
	www.axler.net /LADRReviews.html (83 words)

	Course Information for Linear Algebra (Site not responding. Last check: 2007-10-07)
		Failure to complete homework assignments may easily result in a failing grade in linear algebra.
		While minor adjustments in these dates may be necessary, you should mark these times on your calendar.
		I am also available at other times of the day and you should always feel free to stop by and ask me questions about linear algebra.
	people.hsc.edu /faculty-staff/leec/math231/linearinfosp02.htm (656 words)

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