Linear Algebra Through Geometry

<strong>Linear Algebra Through Geometry</strong> introduces the concepts of linear algebrathrough the careful study of two and threedimensional Euclidean geomet... » 

Linear Algebra Through Geometry introduces the concepts of linear algebrathrough the careful study of two and threedimensional Euclidean geometry. Thisapproach makes it possible to start with vectors linear transformations andmatrices in the context of familiar plane geometry and to move directly totopics such as dot products determinants eigenvalues and quadratic forms.The later chapters deal with ndimensional Euclidean space and other finitedimensional vector space. Topics include systems of linear equations in nvariable inner products symmetric matrices and quadratic forms. The finalchapter treats application of linear algebra to differential systems leastsquare approximations and curvature of surfaces in three spaces. The onlyprerequisite for reading this book with the exception of one section onsystems of differential equations are high school geometry algebra andintroductory trigonometry. «