Find the Determinant [[2,5,0],[1,0,-3],[2,-1,2]]

Find the Determinant [[2,5,0],[1,0,-3],[2,-1,2]]
Set up the determinant by breaking it into smaller components.
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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Simplify each term.
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Multiply by .
Multiply by .
Simplify the expression.
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Add and .
Multiply by .
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 .
Multiply by .
Subtract from .
Add and .
Subtract from .
Can't combine different size matrices.
The combined expressions are .
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