Finite Math Examples

Step 1
The inverse of a matrix can be found using the formula where is the determinant of .
If then
Step 2
Find the determinant of .
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These are both valid notations for the determinant of a matrix.
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 .
Subtract from .
Step 3
Substitute the known values into the formula for the inverse of a matrix.
Step 4
Simplify each element in the matrix.
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Rearrange .
Rearrange .
Step 5
Multiply by each element of the matrix.
Step 6
Simplify each element in the matrix.
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Rearrange .
Rearrange .
Rearrange .
Rearrange .
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