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 .

Simplify the determinant.

Simplify each term.

Multiply by .

Multiply by .

Add and .

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

Rearrange .

Rearrange .

Multiply by each element of the matrix.

Rearrange .

Since the matrix is undefined, it cannot be solved.

Undefined

Find the Inverse of the Matrix [[0,0],[2,1]]