11 lines
709 B
Markdown
11 lines
709 B
Markdown
#uw/notes #uw/class/math208
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- Not all systems of linear equations will be in echelon form and easily solvable
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- There are three **elementary operations** that can be used to create a new system that is equivalent to the old one
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- Interchange the position of two equations
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- Multiply an equation by a nonzero constant
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- Add a multiple of one equation to another
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- $\sim$ is used to indicate the transformation between equivalent linear systems
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- matricies can be used to simplify when working with systems of linear equations
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- matricies with all constant terms of a linear system of equations are called a **augmented matrix**
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- $$\begin{align*} a_{11}x_{1} + a_{12}x_{2} + a_{13} \end{align*}$$ |