Add, subtract, and multiply matrices when possible.
Write a matrix equation equivalent to a system of equations.
In addition to solving systems of equations, matrices are useful in many other types of applications. In this section, we study matrices and some of their properties.
A capital letter is generally used to name a matrix, and lower-case letters with double subscripts generally denote its entries. For example, , read “a sub four seven,” indicates the entry in the fourth row and the seventh column. A general term is represented by . The notation indicates the entry in row i and column j. In general, we can write a matrix as
The matrix ...