Inverse of 2 × 2 Matrix
Inverse of 2 × 2 matrix A = [Tex]\begin {bmatrix} a & b \\ c & d \end{bmatrix}[/Tex] can be directly obtained by below formula.
A-1 = [Tex]\bold{\frac{1}{ad – bc}\begin{bmatrix} d & -b \\ -c & a \end{bmatrix}}[/Tex]
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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