Editing Vector and Matrix Operators (section)

== Inverse (⁻¹) ==
** Matrix that, when multiplied by the original matrix, results in the identity matrix.
*** Solving systems of linear equations, finding inverses.

Additional Information:
The inverse of a square matrix <math>A</math> is denoted by <math>A^{-1}</math> and is defined such that <math>A^{-1}A = AA^{-1} = I</math>, where <math>I</math> is the identity matrix.

Examples:
1. If <math>A = \begin{bmatrix} 2 & 1 \\ 3 & 4 \end{bmatrix}</math>, then its inverse is:
<math>A^{-1} = \frac{1}{ad-bc} \begin{bmatrix} d & -b \\ -c & a \end{bmatrix} = \frac{1}{8} \begin{bmatrix} 4 & -1 \\ -3 & 2 \end{bmatrix}</math>
2. The inverse of a matrix can be used to solve systems of linear equations of the form <math>AX = B</math>, where <math>X</math> is the unknown matrix.