Matrix inversion techniques are methods for finding the inverse of a square matrix. The inverse matrix, if it exists, is unique and has significant properties and applications in various fields. Matrix inversion techniques include Gaussian elimination, Gauss-Jordan elimination, Cramer’s rule, and Laplace expansion, which utilize determinants and adjoint matrices to facilitate computations. These techniques enable solving systems of linear equations, finding eigenvalues and eigenvectors, and performing geometric transformations.
