Mathematics
Using Matrices to Solve Systems of Linear Equations
Quick fact
A system of linear equations can be written as the single matrix equation Ax = b, where A is the coefficient matrix. This compact form allows us to solve for all unknowns simultaneously using algorithms like Gaussian elimination, which powers everything from weather forecasting to 3D graphics.
Why this is interesting
You've solved systems of equations with substitution and elimination. But what if you have 50 equations and 50 unknowns? There must be a more systematic way—and indeed there is, using matrices.