TEST BANK for Linear Algebra with Applications 2nd Edition by Jeffrey Holt

TEST BANK for Linear Algebra with Applications 2nd Edition by Jeffrey Holt • 1 Systems of Linear Equations• 1.1 Lines and Linear Equations• 1.2 Linear Systems and Matrices• 1.3 Applications of Linear Systems*• 1.4 Numerical Solutions*• 2 Euclidean Space• 2.1 Vectors• 2.2 Span• 2.3 Linear Independence• 3 Matrices• 3.1 Linear Transformations• 3.2 Matrix Algebra• 3.3 Inverses• 3.4 LU Factorization*• 3.5 Markov Chains*• 4 Subspaces• 4.1 Introduction to Subspaces• 4.2 Basis and Dimension• 4.3 Row and Column Spaces• 4.4 Change of Basis*• 5 Determinants• 5.1 The Determinant Function• 5.2 Properties of the Determinant• 5.3 Applications of the Determinant*• 6 Eigenvalues and Eigenvectors• 6.1 Eigenvalues and Eigenvectors• 6.2 Diagonalization• 6.3 Complex Eigenvalues and Eigenvectors*• 6.4 Systems of Differential Equations*• 6.5 Approximation Methods*• 7 Vector Spaces• 7.1 Vector Spaces and Subspaces• 7.2 Span and Linear Independence• 7.3 Basis and Dimension• 8 Orthogonality• 8.1 Dot Products and Orthogonal Sets• 8.2 Projection and the Gram–Schmidt Process• 8.3 Diagonalizing Symmetric Matrices and QR Factorization• 8.4 The Singular Value Decomposition*• 8.5 Least Squares Regression*• 9 Linear Transformations• 9.1 Definition and Properties• 9.2 Isomorphisms• 9.3 The Matrix of a Linear Transformation• 9.4 Similarity• 10 Inner Product Spaces• 10.1 Inner Products• 10.2 The Gram–Schmidt Process Revisited• 10.3 Applications of Inner Products*• 11 Additional Topics and Applications*• 11.1 Quadratic Forms• 11.2 Positive Definite Matrices• 11.3 Constrained Optimization• 11.4 Complex Vector Spaces• 11.5 Hermitian Matrices