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Intended for a serious first course or a second course, this textbook will carry students beyondeigenvalues and eigenvectors to the classification of bilinear forms, to normal matrices, to spectraldecompositions, and to the Jordan form. The authors approach their subject in a comprehensiveand accessible manner, presenting notation and terminology clearly and concisely, and providingsmooth transitions between topics. The examples and exercises are well designed and will aiddiligent students in understanding both computational and theoretical aspects. In all, thestraightest, smoothest path to the heart of linear algebra.

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