# Precalculus Examples

Set up the determinant by breaking it into smaller components.

Since the matrix is multiplied by , the determinant is .

Since the matrix is multiplied by , the determinant is .

The determinant of is .

Set up the determinant by breaking it into smaller components.

Since the matrix is multiplied by , the determinant is .

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 .

Subtract from to get .

Add and to get .

Multiply by to get .

The determinant of is .

Set up the determinant by breaking it into smaller components.

Since the matrix is multiplied by , the determinant is .

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 .

Subtract from to get .

Add and to get .

Multiply by to get .

Simplify by adding zeros.

Add and to get .

Subtract from to get .

Add and to get .