Graphing calculators have the ability to solve systems of linear equations by writing the augmented matrix in row echelon form. We enter the augmented matrix into the graphing calculator and name it A. See Figure 7(a). Figure 7(b) shows the results of Example 6 using a graphing calculator.
Figure 7
Notice that the row echelon form of the augmented matrix found using the graphing calculator differs from the row echelon form in the algebraic solution presented in Example 6, yet both matrices provide the same solution! This is because the two solutions use different row operations to obtain the row echelon form.
In Problems 91–94, solve each system of equations using technology.
91.
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