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 .
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The determinant of a matrix can be found using the formula .
Simplify the determinant.
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Multiply by .
Apply the distributive property.
Multiply.
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Multiply by .
Multiply by .
The determinant of is .
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The determinant of a matrix can be found using the formula .
Simplify each term.
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Multiply by .
Multiply by .
Add and .
Subtract from .
Can't combine different size matrices.
The combined expressions are .
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