# Find the Inverse [[eight , thirteen],[ten , fifteen]]

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

If then

These are both valid notations for the determinant of a matrix.

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

Clarify the determinant.

Clarify each term.

First, multiply by .

Multiply by .

Subtract from .

Substitute the known values into the formula for the inverse of a matrix.

Rearrange .

Rearrange .

Multiply by each element of the matrix.

Rearrange .

Rearrange .

Rearrange .

Rearrange .

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