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MHT CET20242 May 2024Morning ShiftMathematicsMatricesActual

If A= [ array cc 3 & -1 -4 & 2 array ] , then A⁻¹ is

Options

  1. A[ array cc 1 & - 1 2 2 & 3 2 array ]
  2. B[ array cc 1 & 1 2 -2 & 3 2 array ]
  3. C[ array cc 1 & - 1 2 -2 & 3 2 array ]
  4. D[ array ll 1 & 1 2 2 & 3 2 array ]

Correct answer

D. [ array ll 1 & 1 2 2 & 3 2 array ]

Step-by-step solution

aligned A= & [ array cc 3 & -1 -4 & 2 array ] A⁻¹= & 1 6-4 [ array ll 2 & 1 4 & 3 array ] & [ If A= [ array ll a & b c & d array ] and a d-b c 0, then . = & . 1 2 [ array ll 2 & 1 4 & 3 array ] A⁻¹= 1 (a d-b c) [ array cc d & -b -c & a array ] . ] A⁻¹= & [ array ll 1 & 1 2 2 & 3 2 array ] aligned

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