If A= [ array cc 1 & 2 3 & -5 array ] . then A -1 is equal to

Mathematics · JEE Main · NTA ExamsMatrices and Determinants

If \(A=\left[\begin{array}{cc} 1 & 2 \\ 3 & -5 \end{array}\right] .\) then A-1 is equal to
  1. \(\left[\begin{array}{cc} -5 & -2 \\ -3 & 1 \end{array}\right]\)
  2. \(\left[\begin{array}{cc} 5 / 11 & 2 / 11 \\ 3 / 11 & -1 / 11 \end{array}\right]\)
  3. \(\left[\begin{array}{cc} -5 / 11 & -2 / 11 \\ -3 / 11 & -1 / 11 \end{array}\right]\)
  4. \(\left[\begin{array}{cc} 5 & 2 \\ 3 & -1 \end{array}\right]\)

Answer

(B) [ array cc 5 / 11 & 2 / 11 3 / 11 & -1 / 11 array ]

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