Properties of Inverse of Matrix
Inverse matrix has the following properties:
- For any non-singular matrix A, (A-1)-1 = A
- For any two non-singular matrices A and B, (AB)-1 = B-1A-1
- Inverse of a non-singular matrix exists, for a singular matrix, the inverse does not exist.
- For any nonsingular A, (AT)-1 = (A-1)T
Related:
Inverse of a Matrix
The inverse of Matrix is the matrix that on multiplying with the original matrix results in an identity matrix. For any matrix A, its inverse is denoted as A-1.
Let’s learn about the Matrix Inverse in detail, including its definition, formula, methods on how to find the inverse of a matrix, and examples.
Table of Content
- Matrix Inverse
- Terms Related to Matrix Inverse
- How to Find Inverse of Matrix?
- Inverse of a Matrix Formula
- Inverse Matrix Method
- Inverse of 2×2 Matrix Example
- Determinant of Inverse Matrix
- Properties of Inverse of Matrix
- Matrix Inverse Solved Examples