MAC1140 Precalculus – Section 9.1 Matrix Solutions to Linear Systems and Applications | May 19, 2026

In this lesson, we continue solving systems of linear equations using matrices and elimination methods. Topics include: performing matrix row operations, solving systems using Gaussian elimination (with back-substitution) or Gauss-Jordan elimination, identifying consistent/inconsistent and dependent/independent systems, applications of Linear Systems (like traffic flow modeling). Examples are solved step-by-step with an emphasis on organization, elimination strategies, calculator support, and avoiding common mistakes.