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MHT CET20227 Aug 2022Evening ShiftMathematicsMatricesActual

If A= [ array ll 3 & 2 0 & 1 array ] , then (A⁻¹ )^3=

Options

  1. A1 27 [ array cc -1 & 26 0 & 27 array ]
  2. B1 27 [ array ll 1 & -26 0 & -27 array ]
  3. C1 27 [ array cc 1 & -26 0 & 27 array ]
  4. D1 27 [ array cc 1 & 26 0 & -27 array ]

Correct answer

C. 1 27 [ array cc 1 & -26 0 & 27 array ]

Step-by-step solution

(A⁻¹ )^3= (A^3 )⁻¹= [ array ll 3 & 2 0 & 1 array ]^3 ⁻¹= [ array cc 27 & 26 0 & 1 array ]⁻¹= 1 27 [ array cc 1 & -26 0 & 27 array ]

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