Ohio Resource Center
Content Supports
Solving Systems of Linear Equations; Row Reduction
Discipline
Mathematics
11, 12, Postsecondary
Professional Commentary

This site illustrates in general, and then with detailed examples, how to solve a system of equations using Gaussian elimination. Applying elementary row operations to the augmented matrix for the system of equations, the student can reduce the matrix to row-echelon form, from which the solution of the system, or the nonexistence of a solution, can easily be determined. (sw)

Collections Containing This Resource

Ohio Mathematics Academic Content Standards (2001)
Number, Number Sense and Operations Standard
Benchmarks (11–12)
D.
Demonstrate fluency in operations with real numbers, vectors and matrices, using mental computation or paper and pencil calculations for simple cases and technology for more complicated cases.
Patterns, Functions and Algebra Standard
Benchmarks (11–12)
D.
Apply algebraic methods to represent and generalize problem situations involving vectors and matrices.
7.
Model and solve problems with matrices and vectors.
9.
Solve 3 by 3 systems of linear equations by elimination and using technology, and interpret graphically what the solution means (a point, line, plane, or no solution).