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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 Topics:
Matrices, Determinant of a 2×2 Matrix, Inverse of a 3×3 Matrix.


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.
Finding Inverse of a 2×2 Matrix


 
How to find the inverse of a 2×2 matrix.
Determinant and inverse of 2×2 matrix


This video explains explains what is meant by the identity matrix and how to find the inverse of a matrix.
Singular Matrices.


 

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.


You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.


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