A system of linear equations may also be viewed in vector form, as an attempt to write one vector as a linear combination of other vectors. Or it more alternatively be viewed in matrix form. We discuss the matrix of coefficients, the vector of variables and the vector of constants.
Putting these together requires an understanding of how a matrix and a vector multiply. This is the starting point of arithmetic with vectors!
We also briefly introduce the augmented matrix of a system of linear equations.