Best Linear Algebra Book
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Best linear algebra book. Solutions to elementary linear algebra prepared by keith matthews 1991 title pagecontents pages 0i. The linear algebra problem book is an ideal text for a course in linear algebra. Linear equations pages 1 11. Subspaces pages 32 44. Typically such a student will have taken calculus but this is not a prerequisite.
Elements of a vector space may have various nature. The first four axioms mean that v is an abelian group under addition. The book begins with systems of linear equations then covers matrix algebra before taking up finite dimensional vector spaces in full generality. For example they can be sequences functions polynomials or matriceslinear algebra is concerned with properties common to all vector spaces. Matrices pages 18 31.
It takes the student step by step from the basic axioms of a field through the notion of vector spaces on to advanced concepts such as inner product spaces and normality. Matrices pages 12 17.
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