In other words: swap the positions of a and d, put negatives in front of b and c, and divide everything by the determinant (ad-bc). In that example we were very careful to get the multiplications correct, because with Matrices the order of multiplication matters.
Calculations like that (but using much larger matrices) help Engineers design buildings, are used in video games and computer animations to make things look 3-dimensional, and many other places.


To find the Inverse of a 2x2 Matrix: swap the positions of a and d, put negatives in front of b and c, and divide everything by the determinant (ad-bc). WELCOME TO THE INTERNET, WHERE THE MEN ARE MEN, THE WOMEN ARE MEN AND THE LITTLE GIRLS ARE FBI AGENTS! A square matrix which has an inverse is called invertible or nonsingular, and a square matrix without an inverse is called noninvertible or singular.





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