MATH 1711: WEEK 9

Topics for this week are:

• Gaussian Elimination
• Matrix Elimination
• Matrix Arithmetic

Objectives for this week:

• Write the augmented matrix for any system of linear equations
• Pivot about any entry in a matrix using the basic row operations
• Solve a system of m equations in n unknowns by reducing the augmented matrix to diagonal form
• Add, subtract, and multiply matrices

Text coverage:     Sections 2.1 - 2.3 of Goldstein, Schneider and Siegel.

Online resources:

• Week 9 Formula Sheet
• Week 9 Practice Problems
• Maple Worksheets
  • Maple commands for matrix arithmetic and multiplication. In this Maple worksheet, we introduce the basic commands for adding, multiplying, inverting, and finding the transpose of a matrix. Try this worksheet before trying the least-squares application.
  • A Maple worksheet on solving systems of equations with a unique solution. This worksheet explores various methods of solving a system of linear equations on Maple. We use four methods, three of which use a form of matrix elimination: the "solve" command, Gaussian elimination, Gauss-Jordan elimination, and the "linsolve" command for solving matrix equations.
  • A Maple worksheet on solving systems of equations without a unique solution. We use the method of Gauss-Jordan elimination to solve some systems of linear equations that have either no solution or infinitely many solutions.

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Last Modified: . School of Mathematics, Georgia Institute of Technology.