# Description

Your hands-on guide to real-world applications of linearalgebra

Does linear algebra leave you feeling lost? No worries--this easy-to-follow guide explains the how and the why ofsolving linear algebra problems in plain English. From matrices tovector spaces to linear transformations, you'll understand the keyconcepts and see how they relate to everything from genetics tonutrition to spotted owl extinction.Line up the basics -- discover several different approachesto organizing numbers and equations, and solve systems of equationsalgebraically or with matrices

Relate vectors and linear transformations -- link vectorsand matrices with linear combinations and seek solutions ofhomogeneous systems

Evaluate determinants -- see how to perform the determinantfunction on different sizes of matrices and take advantage ofCramer's rule

Hone your skills with vector spaces -- determine theproperties of vector spaces and their subspaces and see lineartransformation in action

Tackle eigenvalues and eigenvectors -- define and solve foreigenvalues and eigenvectors and understand how they interact withspecific matrices

Open the book and find: Theoretical and practical ways of solving linear algebraproblems

Definitions of terms throughout and in the glossary

New ways of looking at operations

How linear algebra ties together vectors, matrices, determinants, and linear transformations

Ten common mathematical representations of Greek letters

Real-world applications of matrices and determinants