Schwartz J.T. Introduction to Matrices and Vectors

Dover Publications – 2001, 176 pages
ISBN: 0486420000, 9780486420004Concise undergraduate text focuses on problem solving, rather than elaborate proofs. The first three chapters present the basics of matrices, including addition, multiplication, and division. In later chapters the author introduces vectors and shows how to use vectors and matrices to solve systems of linear equations. He also looks into special matrices—including complex numbers, quaternion matrices, and matrices with complex entries—transpose matrices; the trace of a matrix; the cross product of matrices; eigenvalues and eigenvectors; and infinite series of matrices. Exercises at the end of each section give students further practice. Prerequisites include algebra and (in the later chapters) solid geometry. 1961 edition. 20 black-and-white illustrations.