If A = [ array lll 0 & -1 & 2 2 & -2 & 0 array ], B = [ array ll 0 & 1 1 & 0 1 & 1 array…

Mathematics · JEE Main · NTA ExamsMatrices and Determinants

\[\text { If } \mathrm{A}=\left[\begin{array}{lll} 0 & -1 & 2 \\ 2 & -2 & 0 \end{array}\right], \mathrm{B}=\left[\begin{array}{ll} 0 & 1 \\ 1 & 0 \\ 1 & 1 \end{array}\right]\] and M = AB, then M–1 is equal to –
  1. \(\left[\begin{array}{cc} 2 & -2 \\ 2 & 1 \end{array}\right]\)
  2. \(\left[\begin{array}{cc} 1 / 3 & 1 / 3 \\ -1 / 3 & 1 / 6 \end{array}\right]\)
  3. \(\left[\begin{array}{cc} 1 / 3 & -1 / 3 \\ 1 / 3 & 1 / 6 \end{array}\right]\)
  4. \(\left[\begin{array}{cc} 1 / 3 & -1 / 3 \\ -1 / 3 & 1 / 6 \end{array}\right]\)

Answer

(C) [ array cc 1 / 3 & -1 / 3 1 / 3 & 1 / 6 array ]

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