Let A be a regular 2 x 2 matrix, B a 2 x 2 matrix and AB = 0. Show that B = 0.
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Originally Posted by DivideBy0 Let A be a regular 2 x 2 matrix, B a 2 x 2 matrix and AB = 0. Show that B = 0. A a regular matrix means that A is non singular and so it has an inverse A^{-1}. So: A^{-1} (AB) = (A^{-1}A)B = IB = B = A^{-1}0 = 0 so B=0. RonL
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