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 3 × 3 matrices.
To learn how to find the inverse of a 2 x 2 matrix, follow Inverse of a 2 x 2 matrix.
Every square matrix has an inverse matrix.