7. Systems of Equations & Matrices

Solve each equation.

Evaluate each determinant.

Use the determinant theorems to evaluate each determinant. See Example 4.

$\begin{vmatrix}-4 & 1 & 4\\2& 0 & 1\\ 0&2&4\end{vmatrix}$

Evaluate each determinant.

Use the determinant theorems to evaluate each determinant. See Example 4.

Use Cramer's Rule to solve each system.

$\{\begin{array}{c}7x+2y=0\\ 2x+y=-3\end{array}$

Use the determinant theorems to evaluate each determinant. See Example 4.

In Exercises 55–56, write the system of linear equations for which Cramer's Rule yields the given determinants.

In Exercises 57–60, solve each equation for x.

In Exercises 57–60, solve each equation for x.