Let A by an n-by-n matrix. The inverse of A, denoted A−1 , is also an n-by-n matrix, with the property that AA−1 = I. There’s a general algorithm that one can develop to invert matrices, but in the...

Let A by an n-by-n matrix. The inverse of A, denoted A−1 , is also an n-by-n matrix, with the property that AA−1 = I. There’s a general algorithm that one can develop to invert matrices, but in the next few exercises you’ll calculate inverses of some small matrices by hand.