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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