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MHT CET202210 Aug 2022Morning ShiftMathematicsMatricesActual

If |A|=-3 and A⁻¹= [ array ccc 1 & 0 & 0 -1 & 1 3 & 0 3 & 2 3 & -1 array ] , then ( adj A) is

Options

  1. A[ array ccc -3 & 0 & 0 3 & -1 & 0 -9 & -2 & 3 array ]
  2. B[ array ccc - 1 3 & 0 & 0 1 3 & - 1 9 & 0 1 & - 2 9 & 1 3 array ]
  3. C[ array ccc 3 & 0 & 0 -3 & 1 & 0 9 & 2 & -3 array ]
  4. D[ array ccc 1 3 & 0 & 0 - 1 3 & 1 9 & 0 -1 & 2 9 & - 1 3 array ]

Correct answer

A. [ array ccc -3 & 0 & 0 3 & -1 & 0 -9 & -2 & 3 array ]

Step-by-step solution

aligned & A⁻¹= adj (A) |A| & adj (A)=|A| A⁻¹= [ array ccc -3 & 0 & 0 3 & -1 & 0 -9 & -2 & 3 array ] aligned

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