Linear Algebra For Dummies

Your hands-on guide to real-world applications of linearalgebraDoes 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 [...]
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Your hands-on guide to real-world applications of linearalgebraDoes 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 matricesRelate vectors and linear transformations — link vectorsand matrices with linear combinations and seek solutions ofhomogeneous systemsEvaluate determinants — see how to perform the determinantfunction on different sizes of matrices and take advantage ofCramer's ruleHone your skills with vector spaces — determine theproperties of vector spaces and their subspaces and see lineartransformation in actionTackle eigenvalues and eigenvectors — define and solve foreigenvalues and eigenvectors and understand how they interact withspecific matricesOpen the book and find:Theoretical and practical ways of solving linear algebraproblemsDefinitions of terms throughout and in the glossaryNew ways of looking at operationsHow linear algebra ties together vectors, matrices,determinants, and linear transformationsTen common mathematical representations of Greek lettersReal-world applications of matrices and determinants