Organizes core concepts related to solving linear systems, including row operations, consistency, and solution sets # 🧭 Index - [[Dependent Variables]] - Variables in a system of equations that have a pivot in a reduced matrix - [[Elementary Row Operations (ERO)]] - Three elementary operations on a matrix - [[Free Variables]] - Variables in a system of equations do not have a pivot in a reduced matrix - [[Gauss-Jordan Elimination]] - A method to solve linear systems into RREF - [[Gaussian Elimination]] - A method to solve linear systems into REF - [[Homogeneous Linear Equations]] - A system of linear equations where the solution value is always 0 - [[Leading 1s]] - The first non-zero entry in a row of a matrix in REF - [[Linear Equations]] - Equations that represent a straight line - [[Parametrization]] - Describing the solution sets of linear equations in terms of free variables - [[Reduced Row Echelon Form]] - A unique type of reduced matrix where the leading 1s are the only non-zero entries in its columns - [[Row Echelon Form]] - A non-unique type of reduced matrix where the leading 1 is right of the one in the row above - [[Solution Sets]] - The complete set of all possible solutions that satisfy a given set of linear equations - [[Solving a Linear System Using Parametrization]] - A method of expressing all solutions to a linear system as a vector equation using free variables --- > ✍️ This project’s been a labour of love. > If it helped, [give Math & Matter a star](https://github.com/rajeevphysics/Obsidian-MathMatter) and let me know what you'd like to see next. ---