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Vectors and scalars, vector sum, multiplication by a scalar, dot product, cross product, triple product, line and plane in space, distance between points and lines and planes, sphere and cone. You can use it as a main text, as a supplement, or for independent study. Consequently, each of this books chapters closes with a few application or computerrelated topics. Schaums outline of linear algebra by seymour lipschutz. Click on each topic title to download the notes for that topic. In devising algorithms for the numerical solution of such linear systems, we will exploit the properties of the matrix a. Print versions of the book either a physical copy or a pdf version have significant material. 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. Introductory functional analysis with applications by kreyszig functional analysis at this level is basically just linear algebra with a bit of analysis calculus attached, and this book also has a bit about quantum mechanics at the end. Form a linear system of equations that expresses the requirements of this puzzle.
Wellesleycambridge press and siam for ordering information book order form. It comes early in a program so that progress made here pays off later, but also comes late enough that students are often majors and minors. This textbook is suitable for a sophomore level linear algebra course taught in about twentyfive lectures. Intended for a serious first course or a second course, this textbook will carry students beyond eigenvalues and eigenvectors to the classification of bilinear forms, to normal matrices, to spectral decompositions, and to the jordan form.