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\BOOKMARK [0][-]{Doc-Start}{Table\040of\040Contents}{}% 1
\BOOKMARK [0][-]{section*.2}{Preface}{}% 2
\BOOKMARK [0][-]{chapter.1}{1\040The\040Real\040Numbers}{}% 3
\BOOKMARK [1][-]{section.1.1}{1.1\040Some\040Basic\040Set\040Theory\040Notions}{chapter.1}% 4
\BOOKMARK [1][-]{section.1.2}{1.2\040Real\040Number\040Arithmetic}{chapter.1}% 5
\BOOKMARK [1][-]{section.1.3}{1.3\040The\040Cartesian\040Coordinate\040Plane}{chapter.1}% 6
\BOOKMARK [0][-]{chapter.2}{2\040The\040Complex\040Numbers}{}% 7
\BOOKMARK [1][-]{section.2.1}{2.1\040Complex\040Numbers}{chapter.2}% 8
\BOOKMARK [1][-]{section.2.2}{2.2\040Polar\040Coordinates}{chapter.2}% 9
\BOOKMARK [1][-]{section.2.3}{2.3\040The\040Polar\040Form\040of\040Complex\040Numbers}{chapter.2}% 10
\BOOKMARK [0][-]{chapter.3}{3\040Vector\040Geometry}{}% 11
\BOOKMARK [1][-]{section.3.1}{3.1\040Introduction\040to\040Cartesian\040Coordinates\040in\040Space}{chapter.3}% 12
\BOOKMARK [1][-]{section.3.2}{3.2\040An\040Introduction\040to\040Vectors}{chapter.3}% 13
\BOOKMARK [1][-]{section.3.3}{3.3\040The\040Dot\040Product}{chapter.3}% 14
\BOOKMARK [1][-]{section.3.4}{3.4\040The\040Cross\040Product}{chapter.3}% 15
\BOOKMARK [1][-]{section.3.5}{3.5\040Lines}{chapter.3}% 16
\BOOKMARK [1][-]{section.3.6}{3.6\040Planes}{chapter.3}% 17
\BOOKMARK [0][-]{chapter.4}{4\040Matrix\040Arithmetic}{}% 18
\BOOKMARK [1][-]{section.4.1}{4.1\040Matrix\040Addition\040and\040Scalar\040Multiplication}{chapter.4}% 19
\BOOKMARK [1][-]{section.4.2}{4.2\040The\040Vector\040Space\040Rn}{chapter.4}% 20
\BOOKMARK [1][-]{section.4.3}{4.3\040Matrix\040Multiplication}{chapter.4}% 21
\BOOKMARK [1][-]{section.4.4}{4.4\040Matrix\040Transformations}{chapter.4}% 22
\BOOKMARK [1][-]{section.4.5}{4.5\040Properties\040of\040Linear\040Transformations}{chapter.4}% 23
\BOOKMARK [0][-]{chapter.5}{5\040Systems\040of\040Linear\040Equations}{}% 24
\BOOKMARK [1][-]{section.5.1}{5.1\040Introduction\040to\040Linear\040Equations}{chapter.5}% 25
\BOOKMARK [1][-]{section.5.2}{5.2\040Using\040Matrices\040To\040Solve\040Systems\040of\040Linear\040Equations}{chapter.5}% 26
\BOOKMARK [1][-]{section.5.3}{5.3\040Elementary\040Row\040Operations\040and\040Gaussian\040Elimination}{chapter.5}% 27
\BOOKMARK [1][-]{section.5.4}{5.4\040Existence\040and\040Uniqueness\040of\040Solutions}{chapter.5}% 28
\BOOKMARK [1][-]{section.5.5}{5.5\040Applications\040of\040Linear\040Systems}{chapter.5}% 29
\BOOKMARK [0][-]{chapter.6}{6\040Matrix\040Algebra}{}% 30
\BOOKMARK [1][-]{section.6.1}{6.1\040Vector\040Solutions\040to\040Linear\040Systems}{chapter.6}% 31
\BOOKMARK [1][-]{section.6.2}{6.2\040Solving\040Matrix\040Equations\040AX=B}{chapter.6}% 32
\BOOKMARK [1][-]{section.6.3}{6.3\040The\040Matrix\040Inverse}{chapter.6}% 33
\BOOKMARK [1][-]{section.6.4}{6.4\040Properties\040of\040the\040Matrix\040Inverse}{chapter.6}% 34
\BOOKMARK [1][-]{section.6.5}{6.5\040Elementary\040Matrices}{chapter.6}% 35
\BOOKMARK [0][-]{chapter.7}{7\040Operations\040on\040Matrices}{}% 36
\BOOKMARK [1][-]{section.7.1}{7.1\040The\040Matrix\040Transpose}{chapter.7}% 37
\BOOKMARK [1][-]{section.7.2}{7.2\040The\040Matrix\040Trace}{chapter.7}% 38
\BOOKMARK [1][-]{section.7.3}{7.3\040The\040Determinant}{chapter.7}% 39
\BOOKMARK [1][-]{section.7.4}{7.4\040Properties\040of\040the\040Determinant}{chapter.7}% 40
\BOOKMARK [1][-]{section.7.5}{7.5\040Applications\040of\040the\040Determinant}{chapter.7}% 41
\BOOKMARK [0][-]{chapter.8}{8\040Eigenvalues\040and\040Eigenvectors}{}% 42
\BOOKMARK [1][-]{section.8.1}{8.1\040Eigenvalues\040and\040Eigenvectors}{chapter.8}% 43
\BOOKMARK [1][-]{section.8.2}{8.2\040Properties\040of\040Eigenvalues\040and\040Eigenvectors}{chapter.8}% 44
\BOOKMARK [1][-]{section.8.3}{8.3\040Eigenvalues\040and\040Diagonalization}{chapter.8}% 45
\BOOKMARK [0][-]{appendix.A}{A\040Answers\040To\040Selected\040Problems}{}% 46
\BOOKMARK [0][-]{section*.306}{Index}{}% 47