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Number systems and fields, vector spaces, linear independence, spanning and bases of vector spaces, subspaces, linear transformations, matrices, linear transformations and matrices, elementary operations and the rank of a matrix, the inverse of a linear transformation and of a matrix, change of basis and equivalent matrices. I have kept the exposition lively and given an overall sense of breadth of application. Duality theorems, primal and dual, simplex method, standard form and solutions. With complete details for every proof, for nearly every example, and for solutions to a majority of the exercises, the book is ideal for selfstudy, for those of any age. After getting an initial exposure, sheldon axlers linear algebra done right is a good book for getting a more abstract view of linear algebra at carnegie mellon, this is used for a second course in linear algebra. The book begins with systems of linear equations, then covers matrix algebra, before taking up finitedimensional vector spaces in full generality. Chapter 3 treats linear transformations, their algebra, their representation by matrices, as well as. Hadley and a great selection of related books, art and collectibles available now at. C10 robert beezer in example tmp the rst table lists the cost per kilogram to manufacture each of the three varieties of trail mix bulk, standard, fancy. This book covers the material of an introductory course in linear algebra.
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