Inverse of a Matrix by Inverse of Matrix Formula
The inverse of matrix formula is obtained by dividing adjoint of matrix by determinant of matrix. The adjoint of a matrix is the transpose of the cofactor matrix. The below formula represents the inverse of a matrix formula.
A-1 = adj(A) / |A|
where,
- A-1 is Inverse of Matrix A
- adj(A) is Adjoint of Matrix A
- |A| is Determinant of Matrix A
Methods to Find Inverse of a Matrix
Methods to find the inverse of a matrix involve the inverse of a matrix formula and by elementary operations. The inverse of matrix A is represented as A-1 which when multiplied by matrix A gives an identity matrix.
In this article, we will explore different methods to find the inverse of a matrix in detail along with the inverse of matrix definition and inverse of matrix properties.
Table of Content
- What is Inverse of a Matrix?
- Inverse of a Matrix Definition
- Properties of Inverse of Matrix
- Methods to Find Inverse of a Matrix
- Inverse of a Matrix by Inverse of Matrix Formula
- Steps to Find Inverse of Matrix by Inverse of Matrix Formula
- Inverse of Matrix by Elementary Transformations
- Inverse of 2 × 2 Matrix
- Examples of Methods to Find Inverse of a Matrix
- Practice Problems on Methods to Find Inverse of a Matrix
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