Introduction
- Inverse matrix is a matrix that gives the identity matrix when it is multiplied by its original matrix.
- The inverse matrix of the square matrix A is denoted by A-1.
\[\Large
A.A^{-1} = I
\]
- Non-square matrices does not have inverse matrices.
- Also not all square matrices has inverses, if the determinant of a particular matrix is zero, then that square matrix doesn’t have an inverse matrix.
- In this lesson we will be focusing on how to find inverse matrices of 2 × 2 matrices.
Finding the inverse matrix of a 2 × 2 matrix requires the knowledge of finding determinants of 2 × 2 matrices and matrix multiplication. So we recommend having completed following lessons.
Every square matrix has an inverse matrix.