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 .

Subtract from .

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.

Add and .

Multiply by .

Subtract from .

Add and .

Can’t combine different size matrices.

The combined expressions are .

Find the Determinant [[1,3,-1],[3,6,1],[6,9,6]]