Problems, Theory and Solutions in Linear Algebra Part 1 Euclidean Space
Publisher: Bookboon
Published: 2013
ISBN-13: 9788740311341
Table of contents: title: Vectors, lines and planes in R^3; title: Vector operations and the dot product; title: The cross product; title: Planes and their equations; title: Lines and their parametrizations; title: More on planes and lines; title: Exercises; title: Matrix algebra and Gauss elimination; title: Matrix operations of addition and multiplications; title: The determinant of square matrices; title: The inverse of square matrices; title: Gauss elimination for systems of linear equations; title: Square systems of linear equations; title: Systems of linear equations in R^3; title: Intersection of lines in R^3; title: Exercises; title: Spanning sets and linearly independent sets; title: Linear combinations of vectors; title: Spanning sets of vectors; title: Linearly dependent and independent sets of vectors; title: Exercises; title: Linear transformations in Euclidean spaces; title: Linear transformations: domain and range; title: Standard matrices and composite transformations; title: Invertible linear transformations; title: Exercises