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 …

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.

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.

The primary purpose of this fourth edition of Linear Algebra is to present a careful treatment of the principal topics of linear algebra and to illustrate the power of the subject through a variety of …

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.

Linear Algebra is strikingly similar to the algebra you learned in high school, except that in the place of ordinary single numbers, it deals with vectors.

Gilbert Strang, Introduction to Linear Algebra, 6th Edition (2023) 1. When can lines of lengths r,s,t form a triangle? They must satisfy the strict triangle inequalities r < s+t s < r +t t < r +s If we …