# 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 extra parentheses from the expression .

Remove the parentheses from the numerator.

Remove the parentheses from the denominator.

Divide by to get .

Remove the extra parentheses from the expression .

Remove the parentheses from the numerator.

Remove the parentheses from the denominator.

Divide by to get .

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