# 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 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 a matrix can be found using the formula .

Simplify each term.

Multiply by .

Multiply by .

Add and .

Subtract from .

Can't combine different size matrices.

The combined expressions are .

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