Exercise 1 Page 797

We want to write the given system of equations as a matrix equation. To do this, we need to identify the coefficient matrix, the variable matrix, and the constant matrix from the system. There are three things we have to remember when filling in the coefficient matrix.

1. If a variable is being subtracted, the coefficient is negative.
2. If a variable is missing, the coefficient is $0.$
3. If a variable does not have a written coefficient, the coefficient is $1.$

Let's see what this will look like for the given system.

Now, we will write the left-hand side of the matrix equation as the product of the coefficient matrix and the variable matrix, while the right-hand side is the constant matrix.