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Applied Mathematics · Ch 2 — Algebra

Solving System of Simultaneous Linear Equations

2.8

Solving System of Simultaneous Linear Equations

A system of simultaneous linear equations in two or three variables can be rewritten compactly as a single matrix equation, AX=BAX = B, where AA is the matrix of coefficients, XX is the column of unknowns, and BB is the column of constants on the right-hand side. Once the system is in this form, matrices give you several equivalent ways to solve it: using the inverse of the coefficient matrix, using **Cramer's rule …