# Find the Determinant [[seven , five , zero],[four , five , eight],[zero , minus one , five]]

Set up the determinant by breaking it into smaller components.

The determinant of a matrix can be found using the formula .

Clarify the determinant.

Clarify each term.

First, multiply by .

Multiply by .

Clarify the expression.

Add and .

Multiply by .

The determinant of a matrix can be found using the formula .

Clarify the determinant.

Simplify each term.

Multiply by .

Initially, multiply by .

Simplify the expression.

Add and .

Multiply by .

Since the matrix is multiplied by , the determinant is .

Subtract from .

Add and .

Can't Add different size matrices.

The combined expressions are .

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