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Finding the inverse of a 2x2 matrix

Find the inverse of the following matrix. Then verify that you have found the inverse.

A = mat(4 -3; 8 7).

Please see attached Word doc for a cleaner version.


Solution Preview

The formula to find the inverse of a 2x2 matrix A is....

If A = mat(a b; c d), then

inv(A) = [1/det(A)] * mat(d -b; -c a). Remember that det(A) = ad-bc. So, let's just apply this formula to our example.

First, let's find the ...

Solution Summary

A step-by-step solution is provided for finding the inverse of a 2x2 matrix. Attachment in Word included.