Combines algebra and geometry to discuss the three-dimensional area where vectors can be plotted. This book provides introduction to linear algebra, a branch of mathematics that studies vectors and vector spaces.

Linear algebra is relatively easy for students during the early stages of the course, when the material is presented in a familiar, concrete setting. But when abstract concepts are introduced, students often hit a brick wall. Instructors seem to agree that certain concepts (such as linear independence, spanning, subspace, vector space, and linear transformations), are not easily understood, and ..

This classic treatment of linear algebra presents the fundamentals in the clearest possible way, examining basic ideas by means of computational examples and geometrical interpretation. It proceeds from familiar concepts to the unfamiliar, from the concrete to the abstract.

Giving students an understanding of Linear Algebra, this work is for sophomore, junior or senior-level first courses. It infuses concepts with their applications to offer students examples of how mathematics is used in the real world. It stresses on the important role geometry and visualization play in understanding Linear Algebra.

For courses in Advanced Linear Algebra. This theorem-proof text presents a treatment of the principal topics of linear algebra, and illustrates the power of the subject through a variety of applications.

Takes a novel approach by banishing determinants to the end and focusing on the central goal of linear algebra: understanding the structure of linear operators on vector spaces. This title includes a section on orthogonal projections and minimization problems, along with examples and exercises.