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MHT CET20228 Aug 2022Morning ShiftMathematicsMatricesActual

If A= [ array ll 2 & -3 5 & -7 array ] , then A-A⁻¹=

Options

  1. A[ array cc -5 & 0 0 & -5 array ]
  2. B[ array cc 3 & 2 10 & 3 array ]
  3. C3 [ array cc 3 & -2 10 3 & -3 array ]
  4. D5 [ array ll 1 & 2 3 & 4 array ]

Correct answer

C. 3 [ array cc 3 & -2 10 3 & -3 array ]

Step-by-step solution

aligned & A-A⁻¹= [ array ll 2 & -3 5 & -7 array ]- [ array ll 2 & -3 5 & -7 array ]⁻¹= [ array ll 2 & -3 5 & -7 array ]- [ array ll -7 & 3 -5 & 2 array ] & = [ array cc 9 & -6 10 & -9 array ]=3 [ array cc 3 & -2 10 3 & -3 array ] aligned

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