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MHT CET202122 Sep 2021Morning ShiftMathematicsMatricesActual

If A= [ array lll 1 & 0 & 1 0 & 2 & 3 1 & 2 & 1 array ] , then the value of determinant of A⁻¹ is

Options

  1. A-6
  2. B-1 6
  3. C1 36
  4. D36

Correct answer

B. -1 6

Step-by-step solution

aligned & We have A= [ array lll 1 & 0 & 1 0 & 2 & 3 1 & 2 & 1 array ] & |A|=(2-6)+(0-2)=-6 aligned We know that | A ⁻¹ |= 1 | ~A | | A ⁻¹ |= 1 -6

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