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