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 .

Since the matrix is multiplied by , the determinant is .

Since the matrix is multiplied by , the determinant is .

Add and .

Add and .

Can’t combine different size matrices.

The combined expressions are .

Find the Determinant [[-4,1,2],[-1,0,-2],[5,0,1]]