Refer to the corresponding sign matrix below.

The determinant of is .

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

Simplify each term.

Multiply by .

Multiply by .

The determinant of is .

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

Simplify the determinant.

Simplify each term.

Multiply by .

Multiply by .

Simplify by multiplying through.

Apply the distributive property.

Multiply.

Multiply by .

Multiply by .

The determinant of is .

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

Simplify the determinant.

Simplify each term.

Multiply by .

Multiply by .

Add and .

The determinant of is .

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

Simplify the determinant.

Simplify each term.

Multiply .

Multiply by .

Multiply by .

Multiply by .

Simplify the expression.

Subtract from .

Multiply by .

The determinant of is .

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

Simplify each term.

Multiply by .

Multiply by .

The determinant of is .

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

Simplify the determinant.

Simplify each term.

Multiply by .

Multiply by .

Simplify the expression.

Add and .

Multiply by .

The determinant of is .

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

Simplify the determinant.

Simplify each term.

Multiply .

Multiply by .

Multiply by .

Multiply by .

Subtract from .

The determinant of is .

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

Simplify the determinant.

Simplify each term.

Multiply by .

Multiply by .

Simplify by multiplying through.

Apply the distributive property.

Multiply.

Multiply by .

Multiply by .

The determinant of is .

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

Simplify the determinant.

Simplify each term.

Multiply by .

Multiply by .

Add and .

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

Find the Cofactor Matrix [[4,0,4],[-8,4,4k],[-4,8,4k^2]]