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
Example:
Solution:
Example:
Solution: 
Calculate the Inverse of A MatrixWe 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. Videos2x2 matrices -Professor Edward Burger explains inverses with 2x2 matrices. 3x3 Matrices - Professor Edward Burger explains inverses with 3x3 matrices. The following video explains what is meant by the identity matrix and how to calculate the inverse of a matrix.
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