Calculating the Inverse Of A Matrix

 

 

Before we can find the inverse of a matrix, we need to first learn how to get the determinant of a matrix.

Determinant Of A Matrix

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Example:

Solution:

 

Example:

Solution:

 

 

Calculate the Inverse of A Matrix

We will show how to calculate the inverse of a matrix by 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.

Videos

The following video explains what is meant by the identity matrix and how to calculate the inverse of a matrix.

Finding Inverse Matrix
Demonstration on how to find the Inverse of a 2 x 2 matrix.

Inverse Matrices

 

 

 

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