in Linear Algebra retagged by
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Let $M^4$= $I$,(where $I$ denotes the identity matrix) and $ M \neq I$, $M^2\neq I$ and $M^3\neq I$. Then,for any natural number $k$,  $M^{-1}$ equals:

  1. $M^{4k+1}$    
  2. $M^{4k+2}$
  3. $M^{4k+3}$
  4. $M^{4k}$
in Linear Algebra retagged by
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