# Find the Determinant [[0,-1,a],[3,-a,1],[1,-2,3]]

Find the Determinant [[0,-1,a],[3,-a,1],[1,-2,3]]
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.
Multiply by .
Apply the distributive property.
Multiply.
Multiply by .
Multiply by .
The determinant of is .
The determinant of a matrix can be found using the formula .
Simplify each term.
Multiply by .
Multiply by .