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Teaching Linear Algebra at University
"... Linear algebra represents, with calculus, the two main mathematical subjects taught in science universities. However this teaching has always been difficult. In the last two decades, it became an active area for research works in mathematics education in several countries. Our goal is to give a synt ..."
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Linear algebra represents, with calculus, the two main mathematical subjects taught in science universities. However this teaching has always been difficult. In the last two decades, it became an active area for research works in mathematics education in several countries. Our goal is to give a
The Design of Linear Algebra and Geometry
 ACTA APPLICANDAE MATHEMATICAE
, 1991
"... Conventional formulations of linear algebra do not do justice to the fundamental concepts of meet, join, and duality in projective geometry. This defect is corrected by introducing Clifford algebra into the foundations of linear algebra. There is a natural extension of linear transformations on a ..."
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Cited by 46 (10 self)
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Conventional formulations of linear algebra do not do justice to the fundamental concepts of meet, join, and duality in projective geometry. This defect is corrected by introducing Clifford algebra into the foundations of linear algebra. There is a natural extension of linear transformations on a
Templates for Linear Algebra Problems
, 1995
"... The increasing availability of advancedarchitecture computers is having a very significant effect on all spheres of scientific computation, including algorithm research and software development in numerical linear algebra. Linear algebra  in particular, the solution of linear systems of equation ..."
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Cited by 5 (1 self)
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The increasing availability of advancedarchitecture computers is having a very significant effect on all spheres of scientific computation, including algorithm research and software development in numerical linear algebra. Linear algebra  in particular, the solution of linear systems
1 Notes on Linear Algebra
, 2005
"... Linear Algebra is the theory of linear transformations. Applications abound in estimation, control, and Markov chains. You should be familiar with the following concepts that we ..."
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Linear Algebra is the theory of linear transformations. Applications abound in estimation, control, and Markov chains. You should be familiar with the following concepts that we
Linear Algebra with PCMATLAB
"... this document, a routine application of the software demonstrates a number of spinoff benefits to both lecturers and students on a course in basic linear algebra ..."
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this document, a routine application of the software demonstrates a number of spinoff benefits to both lecturers and students on a course in basic linear algebra
The Proof Complexity of Linear Algebra
 IN SEVENTEENTH ANNUAL IEEE SYMPOSIUM ON LOGIC IN COMPUTER SCIENCE (LICS
, 2002
"... We introduce three formal theories of increasing strength for linear algebra in order to study the complexity of the concepts needed to prove the basic theorems of the subject. We give what is apparently the rst feasible proofs of the CayleyHamilton theorem and other properties of the determina ..."
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Cited by 25 (9 self)
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We introduce three formal theories of increasing strength for linear algebra in order to study the complexity of the concepts needed to prove the basic theorems of the subject. We give what is apparently the rst feasible proofs of the CayleyHamilton theorem and other properties
Formal Theories for Linear Algebra
"... Abstract. We introduce twosorted theories in the style of [CN10] for the complexity classes ⊕L and DET, whose complete problems include determinants over Z2 and Z, respectively. We then describe interpretations of Soltys ’ linear algebra theory LAp over arbitrary integral domains, into each of our ..."
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Cited by 2 (1 self)
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Abstract. We introduce twosorted theories in the style of [CN10] for the complexity classes ⊕L and DET, whose complete problems include determinants over Z2 and Z, respectively. We then describe interpretations of Soltys ’ linear algebra theory LAp over arbitrary integral domains, into each of our
Zariski decomposition: a new (old) chapter of linear algebra
 Amer. Math. Monthly
"... linear algebra ..."
Functional Models in Linear Algebra
, 1992
"... This paper examines the role of functional models in linear algebra and some related areas of application, notably linear systems theory. This approach adopts an intermediate level of abstraction, somewhere between abstract module theory on the one hand and matrix theory on the other. It is a powerf ..."
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This paper examines the role of functional models in linear algebra and some related areas of application, notably linear systems theory. This approach adopts an intermediate level of abstraction, somewhere between abstract module theory on the one hand and matrix theory on the other. It is a
Results 11  20
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