# Linear Algebra Examples

,

Represent the system of equations in matrix format.

These are both valid notations for the determinant of a matrix.

The determinant of a matrix can be found using the formula .

Simplify the determinant.

Simplify each term.

Multiply by to get .

Multiply by to get .

Add and to get .

These are both valid notations for the determinant of a matrix.

The determinant of a matrix can be found using the formula .

Simplify the determinant.

Simplify each term.

Multiply by to get .

Multiply by to get .

Add and to get .

These are both valid notations for the determinant of a matrix.

The determinant of a matrix can be found using the formula .

Simplify the determinant.

Simplify each term.

Multiply by to get .

Multiply by to get .

Add and to get .

Remove the parentheses from the numerator.

Remove the parentheses from the denominator.

Remove the parentheses from the numerator.

Remove the parentheses from the denominator.

The solution to the system of equations using Cramer's Rule.