Set up the determinant by breaking it into smaller components.

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 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 a matrix can be found using the formula .

Simplify the determinant.

Simplify each term.

Multiply by .

Multiply by .

Add and .

Subtract from .

Subtract from .

Can’t combine different size matrices.

The combined expressions are .

Find the Determinant [[4,-3,-1],[-2,3,4],[1,-2,3]]