Linear algebra

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Linear algebra describes ways to solve systems of equations. It is very difficult to learn.

For example consider the following equations:

\begin{matrix}  x &+& y &=& 0 \\  x &-& 2y &=& 3 \end{matrix}

These two equations form a system of equations.

Linear algebra uses a system of notation for describing system behavior, called a matrix.

For the previous example, the coefficients of the equations can be stored in a coefficient matrix.