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 1TFR: For items (a)(g), decide if the given statement is true or false, and give a brief justification for... Problem 2TFR: For items (a)(g), decide if the given statement is true or false, and give a brief justification for... Problem 3TFR: For items (a)(g), decide if the given statement is true or false, and give a brief justification for... Problem 4TFR: For items (a)(g), decide if the given statement is true or false, and give a brief justification for... Problem 5TFR Problem 6TFR: True-False Review For items a-g, decide if the given statement is true or false, and give a brief... Problem 7TFR: True-False Review For items a-g, decide if the given statement is true or false, and give a brief... Problem 1P: For Problems 12, verify that the given triple of real numbers is a solution to the given system.... Problem 2P Problem 3P: Verify that for all values of t, (1t,2+3t,32t) is a solution to the linear system... Problem 4P Problem 5P: In Problem 58, make a sketch in the xy-plane in order to determine the number of solutions to the... Problem 6P Problem 7P: In Problem 58, make a sketch in the xy-plane in order to determine the number of solutions to the... Problem 8P Problem 9P: For Problems 911, determine the coefficient matrix, A, the right-hand side vector, b, and the... Problem 10P: For Problems 911, determine the coefficient matrix, A, the right-hand side vector, b, and the... Problem 11P: For Problems 911, determine the coefficient matrix, A, the right-hand side vector, b, and the... Problem 12P Problem 13P: For Problems 12-15, write the system of equations with the given coefficient matrix and right-hand... Problem 14P Problem 15P: For Problems 12-15, write the system of equations with the given coefficient matrix and right-hand... Problem 17P: For Problems 17-20, write the vector formulation for the given system of differential equations.... Problem 18P Problem 19P Problem 20P Problem 21P Problem 22P: For Problems 21-24, verify that the given vector function x defines a solution to x=Ax+b for the... Problem 23P Problem 24P format_list_bulleted