1 First-order Differential Equations 2 Matrices And Systems Of Linear Equations 3 Determinants 4 Vector Spaces 5 Inner Product Spaces 6 Linear Transformations 7 Eigenvalues And Eigenvectors 8 Linear Differential Equations Of Ordern 9 Systems Of Differential Equations 10 The Laplace Transform And Some Elementary Applications 11 Series Solutions To Linear Differential Equations A Review Of Complex Numbers B Review Of Partial Fractions C Review Of Integration Techniques expand_more
2.1 Matrices: Definitions And Notation 2.2 Matrix Algebra 2.3 Terminology For Systems Of Linear Equations 2.4 Row-echelon Matrices And Elementary Row Operations 2.5 Gaussian Elimination 2.6 The Inverse Of A Square Matrix 2.7 Elementary Matrices And The Lu Factorization 2.8 The Invertible Matrix Theorem I 2.9 Chapter Review expand_more
Problem 1AP: Let A=[24261150], B=[30221301], C=[5631]. For Problem 1-9 compute the given expression, if possible.... Problem 2AP: Let A=[24261150], B=[30221301], C=[5631]. For Problem 1-9 compute the given expression, if possible.... Problem 3AP: Let A=[24261150], B=[30221301], C=[5631]. For Problem 1-9 compute the given expression, if possible.... Problem 4AP Problem 5AP Problem 6AP Problem 7AP Problem 8AP Problem 9AP Problem 10AP Problem 11AP Problem 12AP Problem 13AP Problem 14AP Problem 15AP Problem 16AP: For Problem 16-19 let A(t)=[e3tsec2t2t3cost6lnt365t] and B(t)=[7t26t3t3+6t21+tcos(t/2)et1t3].... Problem 17AP Problem 18AP Problem 19AP: For Problem 16-19 let A(t)=[e3tsec2t2t3cost6lnt365t] and B(t)=[7t26t3t3+6t21+tcos(t/2)et1t3].... Problem 20AP: For Problem 20-26 determine the solutions set the given linear system of equations.... Problem 21AP: For Problem 20-26 determine the solutions set the given linear system of equations.... Problem 22AP: For problems 20-26, determine the solution set to the given linear system of equations.... Problem 23AP Problem 24AP Problem 25AP Problem 26AP Problem 27AP: For problems 27-30, determine all values of k for which the given linear system has a no solution, b... Problem 28AP: For problems 27-30, determine all values of k for which the given linear system has a no solution, b... Problem 29AP Problem 30AP: For problems 27-30, determine all values of k for which the given linear system has a no solution, b... Problem 31AP Problem 32AP: For problems 32-37, a find a row-echelon form of the given matrix A, b determine rank (A), and c use... Problem 33AP: For problems 32-37, a find a row-echelon form of the given matrix A, b determine rank (A), and c use... Problem 34AP: For problems 32-37, a find a row-echelon form of the given matrix A, b determine rank (A), and c use... Problem 35AP Problem 36AP Problem 37AP Problem 38AP Problem 39AP Problem 40AP Problem 41AP Problem 42AP Problem 43AP: For problems 42-45, a express the given matrix as a product of elementary matrices, and b determine... Problem 44AP: For problems 42-45, a express the given matrix as a product of elementary matrices, and b determine... Problem 45AP: For problems 42-45, a express the given matrix as a product of elementary matrices, and b determine... Problem 46AP Problem 47AP Problem 48AP Problem 49AP Problem 50AP Problem 51AP format_list_bulleted