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An '''inverse matrix''', or inverse of a [[matrix]], is the square matrix that produces the [[identity matrix]] when multiplied by its corresponding inverse.  For a given matrix <math>A</math> the inverse exists if and only if the [[determinant]] of <math>A</math> is non-zero, <math>\det A \neq 0</math>. The inverse of an inverse is the original matrix.

An '''inverse matrix''', or [[inverse]] of a [[matrix]], is the square matrix that produces the [[identity matrix]] when multiplied by its corresponding inverse.  For a given matrix <math>A</math> the inverse exists if and only if the [[determinant]] of <math>A</math> is non-zero, <math>\det A \neq 0</math>. The inverse of an inverse is the original matrix.

The formula for finding the inverse of a 2x2 matrix is as follows:

The formula for finding the inverse of a 2x2 matrix is as follows: