# Find the Determinant [[7,1,0],[7,-7,1],[6,-1,0]]

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 .
Since the matrix is multiplied by , the determinant is .