Answer:
Does exist -- It only exists when the determinant does not equal zero.
Step-by-step explanation:
The inverse of a matrix is the transpose of the cofactor matrix, divided by the determinant. If the determinant is zero, the result of the division is undefined and the inverse does not exist.
__
For this matrix, the determinant is (-2)(18) -(9)(4) = -72. The inverse exists.
