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<TABLE CELLSPACING=0 CELLPADDING=0><TR><TD>Text Features</TD><TD WIDTH=40></TD><TD VALIGN=TOP>ix</TD><TD></TD></TR><TR><TD>Preface</TD><TD WIDTH=40></TD><TD VALIGN=TOP>xi</TD><TD></TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Linear Equations</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>1</TD><TD VALIGN=TOP>(39)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Introduction to Linear Systems</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>1</TD><TD VALIGN=TOP>(7)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Matrices, Vectors, and Gauss-Jordan Elimination</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>8</TD><TD VALIGN=TOP>(17)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>On the Solutions of Linear Systems; Matrix Algebra</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>25</TD><TD VALIGN=TOP>(15)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Linear Transformations</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>40</TD><TD VALIGN=TOP>(61)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Introduction to Linear Transformations and Their Inverses</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>40</TD><TD VALIGN=TOP>(14)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Linear Transformations in Geometry</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>54</TD><TD VALIGN=TOP>(15)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Matrix Products</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>69</TD><TD VALIGN=TOP>(10)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>The Inverse of a Linear Transformation</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>79</TD><TD VALIGN=TOP>(22)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Subspaces of Rn and Their Dimensions</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>101</TD><TD VALIGN=TOP>(52)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Image and Kernel of a Linear Transformation</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>101</TD><TD VALIGN=TOP>(12)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Subspaces of Rn; Bases and Linear Independence</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>113</TD><TD VALIGN=TOP>(10)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>The Dimension of a Subspace of Rn</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>123</TD><TD VALIGN=TOP>(14)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Coordinates</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>137</TD><TD VALIGN=TOP>(16)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Linear Spaces</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>153</TD><TD VALIGN=TOP>(34)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Introduction to Linear Spaces</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>153</TD><TD VALIGN=TOP>(12)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Linear Transformations and Isomorphisms</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>165</TD><TD VALIGN=TOP>(7)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>The Matrix of a Linear Transformation</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>172</TD><TD VALIGN=TOP>(15)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Orthogonality and Least Squares</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>187</TD><TD VALIGN=TOP>(62)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Orthogonal Projections and Orthonormal Bases</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>187</TD><TD VALIGN=TOP>(16)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Gram-Schmidt Process and QR Factorization</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>203</TD><TD VALIGN=TOP>(7)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Orthogonal Transformations and Orthogonal Matrices</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>210</TD><TD VALIGN=TOP>(10)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Least Squares and Data Fitting</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>220</TD><TD VALIGN=TOP>(13)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Inner Product Spaces</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>233</TD><TD VALIGN=TOP>(16)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Determinants</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>249</TD><TD VALIGN=TOP>(45)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Introduction to Determinants</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>249</TD><TD VALIGN=TOP>(12)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Properties of the Determinant</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>261</TD><TD VALIGN=TOP>(16)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Geometrical Interpretations of the Determinant; Cramer's Rule</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>277</TD><TD VALIGN=TOP>(17)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Eigenvalues and Eigenvectors</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>294</TD><TD VALIGN=TOP>(73)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Dynamical Systems and Eigenvectors: An Introductory Example</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>294</TD><TD VALIGN=TOP>(14)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Finding the Eigenvalues of a Matrix</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>308</TD><TD VALIGN=TOP>(11)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Finding the Eigenvectors of a Matrix</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>319</TD><TD VALIGN=TOP>(13)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Diagonalization</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>332</TD><TD VALIGN=TOP>(11)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Complex Eigenvalues</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>343</TD><TD VALIGN=TOP>(14)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Stability</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>357</TD><TD VALIGN=TOP>(10)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Symmetric Matrices and Quadratic Forms</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>367</TD><TD VALIGN=TOP>(30)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Symmetric Matrices</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>367</TD><TD VALIGN=TOP>(9)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Quadratic Forms</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>376</TD><TD VALIGN=TOP>(9)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Singular Values</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>385</TD><TD VALIGN=TOP>(12)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=40></TD><TD>Linear Differential Equations</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>397</TD><TD VALIGN=TOP>(40)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>An Introduction to Continuous Dynamical Systems</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>397</TD><TD VALIGN=TOP>(13)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>The Complex Case: Euler's Formula</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>410</TD><TD VALIGN=TOP>(13)</TD></TR><TR><TD><TABLE CELLSPACING=0 CELLPADDING=0><TR><TD WIDTH=60></TD><TD>Linear Differential Operators and Linear Differential Equations</TD></TR></TABLE></TD><TD WIDTH=40></TD><TD VALIGN=TOP>423</TD><TD VALIGN=TOP>(14)</TD></TR><TR><TD>Appendix A Vectors</TD><TD WIDTH=40></TD><TD VALIGN=TOP>437</TD><TD VALIGN=TOP>(9)</TD></TR><TR><TD>Answers to Odd-Numbered Exercises</TD><TD WIDTH=40></TD><TD VALIGN=TOP>446</TD><TD VALIGN=TOP>(25)</TD></TR><TR><TD>Subject Index</TD><TD WIDTH=40></TD><TD VALIGN=TOP>471</TD><TD VALIGN=TOP>(7)</TD></TR><TR><TD>Name Index</TD><TD WIDTH=40></TD><TD VALIGN=TOP>478</TD><TD></TD></TR></TABLE>

xv, 478 pages : illustrations (some color) ; 27 cm

Linear algebra with applications