Augmented Matrices
Augmented matrices are a compact way of writing Linear Systems of Equations in matrix from. To start the linear systems are converted in to Compact Systems then the various matrices are "Concatenated" together.
An example given a system in matrix form:
the augmented matrix is:
- The first N-columns represent the coefficients with variables
. - The final column represents the constants on the right-hand side of the equations.
- The vertical bar is a visual separator; mathematically, the whole thing is just one
matrix.