in Linear Algebra edited by
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The matrix $P$ is the inverse of a matrix $Q$. If $I$ denotes the identity matrix, which one of the following options is correct?

  1. $PQ=I$ but $QP \neq I$
  2. $QP=I$ but $PQ \neq I$
  3. $PQ=I$ and $QP= I$
  4. $PQ-QP= I$
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