# Algebra Examples

Refer to the corresponding sign matrix below.

The determinant of is .

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 .

Subtract from to get .

The determinant of is .

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 .

Simplify the expression.

Subtract from to get .

Multiply by to get .

The determinant of is .

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 .

Subtract from to get .

The determinant of is .

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 .

Simplify the expression.

Subtract from to get .

Multiply by to get .

The determinant of is .

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 .

Subtract from to get .

The determinant of is .

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 .

Simplify the expression.

Subtract from to get .

Multiply by to get .

The determinant of is .

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 .

Subtract from to get .

The determinant of is .

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 .

Simplify the expression.

Subtract from to get .

Multiply by to get .

The determinant of is .

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 .

Subtract from to get .

The cofactor matrix is a matrix with cofactors as the elements.