# Algebra Examples

Find the Determinant
The determinant of is .
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 .
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 .