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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