# Algebra Examples

Find the Determinant
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 .
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 the determinant.
Simplify each term.
Multiply by .
Multiply by .
Subtract from .
Subtract from .
Add and .
Multiply by .
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 .
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 the determinant.
Simplify each term.
Multiply by .
Multiply by .
Subtract from .
Subtract from .
Add and .
Multiply by .
Simplify by adding zeros.
Add and .
Subtract from .
Add and .
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