Show that if AB is invertible, so is A. (there is a matrix w so that ABW=I.. why?)
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Originally Posted by cottekr Show that if AB is invertible, so is A. (there is a matrix w so that ABW=I.. why?) If AB is invertible there exists a matrix W s.t. (AB)W = I. But matrix multiplication is associative, so I = (AB)W = A(BW)... Tonio
Originally Posted by cottekr Show that if AB is invertible, so is A. (there is a matrix w so that ABW=I.. why?) That is, pretty much, the definition of "invertible", isn't it?
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