Practice Problems on Methods to Find Inverse of a Matrix
P1: Find the inverse of the matrix P = [Tex]\begin {bmatrix} 12 & 8 \\ 20 & 15 \end{bmatrix}[/Tex] by Direct Method.
P2: Find the inverse of matrix X = [Tex]\begin {bmatrix} 2 & 10 \\ 15 & 5 \end{bmatrix}[/Tex] by elementary transformations.
P3: Find the inverse of matrix B = [Tex]\begin {bmatrix} 3 & 1 & -1 \\ 2& -2 & 0\\ 1&2&-1 \end{bmatrix}[/Tex] by inverse matrix formula.
P4: Find the inverse of matrix D = [Tex]\begin {bmatrix} 2 & 3 & 1 \\ 1 & 1 & 2\\ 2&3&4 \end{bmatrix}[/Tex] by elementary transformations.
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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