Set up the determinant by breaking it into smaller components.

Since the matrix is multiplied by , the determinant 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 .

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 [[7,1,0],[7,-7,1],[6,-1,0]]