Solving linear systems using Cramer's Rule  Determinant of a Matrix
Solving linear systems using Cramer's Rule
Last chapter we saw that we are able to solve linear systems with Gaussian Elimination. Now we are going to take a look at a new method which involves solving linear systems with Cramer's Rule. Cramer's Rule requires us to find the determinant of 2 x 2 and 3 x 3 matrices (depends on your linear system). However, this rule can only be used if you have the same number of equations and variables. If you have a different number of equations and variables, then finding the determinant will be impossible. Hence, it will not be possible to use Cramer's rule.
Lessons
Notes:
This is a different way of solving linear systems. Instead of using Gaussian Eliminations, you can use Cramer's Rule! Make sure to review your determinants of 2 x 2 and 3 x 3 matrices.
Cramer's Rule for 2 x 2 matrices:
$x=\frac{D_x}{D}$
$y=\frac{D_y}{D}$
Cramer's Rule for 3 x 3 matrices:
$x=\frac{D_x}{D}$
$y=\frac{D_y}{D}$
$z=\frac{D_z}{D}$

Intro Lesson
Cramer's Rule Overview:

1.
Cramer's Rule with 2 x 2 matrices
Solve the following linear systems with Cramer's Rule" 
2.
Cramer's Rule with 3 x 3 matrices
Solve the following linear systems with Cramer's Rule"