Finding the Inverse of a 2×2 Matrix
The inverse of a matrix is often used to solve matrix equations. These lessons and videos help Algebra students find the inverse of a 2×2 matrix.
Related Pages
Determinant of a 2×2 Matrix
Singular Matrix
Inverse of a 3×3 Matrix.
More Lessons On Matrices
Inverse of a 2×2 Matrix
Let us find the inverse of a matrix by working through the following example:
Example:
Solution:
Step 1: Find the determinant.
Step 2: Swap the elements of the leading diagonal.
Recall: The leading diagonal is from top left to bottom right of the matrix.
Step 3: Change the signs of the elements of the other diagonal.
(Change the signs of 8 and 5)
Step 4: Divide each element by the determinant.
When a matrix has no inverse it is called a singular matrix.
Inverse Matrices
If AB = BA = I, then A and B are inverse matrices.
Finding Inverse of a 2×2 Matrix
Example:
Find A-1, the inverse of matrix A
How to find the inverse of a 2×2 matrix?
Determinant and inverse of 2×2 matrix
What is meant by the identity matrix and how to find the inverse of a matrix?
Singular Matrices
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