ObsidianVault/College/AU 26/MATH 208 (Matrix Algebra)/Chapter 1.2 Notes.md

#uw/notes #uw/class/math208

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• Not all systems of linear equations will be in echelon form and easily solvable
• There are three elementary operations that can be used to create a new system that is equivalent to the old one
  • Interchange the position of two equations
  • Multiply an equation by a nonzero constant
  • Add a multiple of one equation to another
  • \sim is used to indicate the transformation between equivalent linear systems
• matricies can be used to simplify when working with systems of linear equations
  • matricies with all constant terms of a linear system of equations are called a augmented matrix
  • \begin{align*} a_{11}x_{1} + a_{12}x_{2} + a_{13} \end{align*}