Abstract We define linear equations, both homogeneous and inhomogeneous, and describe what is certainly the oldest problem in linear algebra: finding the solutions of a system of linear …

Once determinants have been moved to the end of the book, a new route opens to the main goal of linear algebra—understanding the structure of linear operators.

This book begins with the central problem of linear algebra: solving linear equations. The most important ease, and the simplest, is when the number of unknowns equals the number of …

In this course, we'll learn about three main topics: Linear Systems, Vector Spaces, and Linear Transformations. Along the way we'll learn about matrices and how to manipulate them.

Linear Algebra Problems in Lemma My friend Pavel Grinfeld at Drexel has sent me a collection of interesting problems --mostly elementary but each one with a small twist.

We show how to asso-ciate a matrix to a linear transformation (depending on a choice of bases) and prove that two matrices representing a linear transformation from a space to itself are similar.

on linear combinations of vectors. Given vectors v1, v2, . . . , vp, there are certain vectors b that can be written as a linear combination of v , v2, . . . , vp in an obvious way. The zero vector b = …