4: Simultaneous Linear Equations
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- 4.00: Physical Problems for Simultaneous Linear Equations
- Examples of engineering problems whose solutions require solving simultaneous linear equations.
- 4.01: Prerequisites to Simultaneous Linear Equations
- Definition and special classifications of matrices. Conducting matrix operations and finding the inverse of a matrix. Setting up problems in matrix form.
- 4.06: Gaussian Elimination Method for Solving Simultaneous Linear Equations
- Theory and application of Gaussian elimination for solving simultaneous linear equations. Covers both the naive and partial-pivoting Gaussian elimination methods.
- 4.07: LU Decomposition for Solving Simultaneous Linear Equations
- Theory and practice of using the LU decomposition method to solve simultaneous linear equations, including how to find the inverse of a matrix with this method. Computational efficiency of using the LU decomposition method versus Gaussian elimination.