7. Systems of Equations & Matrices

Evaluate the determinant of the matrix.

Solve the system of equations using Cramer's Rule.

$4x+2y+3z=6$

$x+y+z=3$

$5x+y+2z=5$

Write each equation in standard form and use Cramer's Rule to solve the system.

$y-9x=-3$

$-3x=4y-1$

What is the value of ?

Evaluate each determinant in Exercises 1–10.

$\begin{vmatrix}5 & 7 \\2 & 3\end{vmatrix}$

What expression in x represents ?

Evaluate each determinant in Exercises 1–10.

$\begin{vmatrix}-4 & 1 \\5 & 6\end{vmatrix}$

Evaluate each determinant in Exercises 1–10.

$\begin{vmatrix}-7 & 14 \\2 & -4\end{vmatrix}$

What is the value of x if ?

Evaluate each determinant.

Evaluate each determinant in Exercises 1–10.

$\begin{vmatrix}-5 & -1 \\-2 & -7\end{vmatrix}$

Evaluate each determinant.

Evaluate each determinant in Exercises 1–10.$\begin{vmatrix}\frac{1}{2} & \frac{1}{2} \\\frac{1}{8} & - \frac{3}{4}\end{vmatrix}$

Evaluate each determinant.

Evaluate each determinant.