Monday, 9 September 2013

linear algebra - Inverse of 2times2 matrix

Let A and B be two 2×2 square matrices such that AB=I Then prove that BA=I.



I tried to do it by defining A and B manually by listing the elements but calculations become tedious.
Is there a short way to obtain this result?



One is only allowed to use concept of product of matrices and elementry transformations.

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