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.
Let us find the inverse of a matrix by working through the following example:
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.
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