# Find the Determinant [[zero , minus one ,a],[three , minus a, one],[one , minus two , three]]

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 .
Clarify the determinant.
First, multiply by .
Use the distributive law.
Multiply.
Multiply by .
Initially, multiply by .
The determinant of is .
The determinant of a matrix can be found using the formula .
Clarify each term.
Multiply by .
Multiply by .
Sum and .
Subtract from .