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MHT CET20249 May 2024Evening ShiftMathematicsDeterminantsActual

For the matrix A = [ array ccc 2 & 0 & -1 3 & 1 & 2 -1 & 1 & 2 array ] , the matrix of cofactors is

Options

  1. A[ array ccc 0 & 8 & -4 -1 & 3 & 2 1 & -7 & 2 array ]
  2. B[ array ccc 0 & -8 & 4 -1 & 3 & -2 1 & -7 & 2 array ]
  3. C[ array ccc 0 & 8 & -4 1 & -3 & 2 -1 & 7 & -2 array ]
  4. D[ array ccc 0 & -8 & 4 -1 & 3 & 2 -1 & -7 & 2 array ]

Correct answer

B. [ array ccc 0 & -8 & 4 -1 & 3 & -2 1 & -7 & 2 array ]

Step-by-step solution

aligned & A ₁₁=(-1)¹⁺¹ | array ll 1 & 2 1 & 2 array |=1(0)=0 & ~A ₁₂=(-1)¹⁺² | array cc 3 & 2 -1 & 2 array |=(-1)(8)=-8 & ~A ₁₃=(-1)¹⁺³ | array cc 3 & 1 -1 & 1 array |=(1)(4)=4 & ~A ₂₁=(-1)²⁺¹ | array cc 0 & -1 1 & 2 array |=(-1)(1)=-1 & ~A ₂₂=(-1)²⁺² | array cc 2 & -1 -1 & 2 array |=(1)(3)=3 & ~A ₂₃=(-1)²⁺³ | array cc 2 & 0 -1 & 1 array |=(-1)(2)=-2 & ~A ₃₁=(-1)³⁺¹ | array cc 0 & -1 1 & 2 array |=(1)(1)=1 & ~A ₃₂=(-1)³⁺² | array cc 2 & -1 3 & 2 array |=(-1)(7)=-7 & ~A ₃₃=(-1)³⁺³ | array ll 2 & 0 3 & 1 array |=(1)(

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