Systems and Matrices


This chapter focuses on solving linear systems of equations. Algebraic methods of solving systems are reviewed before matrices are introduced. Three different solving methods using matrices are developed: using row operations on an augmented matrix, using determinants described by Cramer’s rule, and using an inverse matrix to solve a matrix equation. Although the Gaussian elimination and matrix inverse methods are the hardest to do manually, they are the best methods for calculators and computers, especially when the systems are 3 × 3 or larger.

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