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MHT CET202012 Oct 2020Morning ShiftMathematicsMatricesActual

Which of the following matrix is invertible? A₁= [ array ll 4 & 2 2 & 1 array ]A₂= [ array ccc -1 & -2 & 3 4 & 5 & 7 2 & 4 & -6 array ]A₃= [ array lll 1 & 0 & 0 5 & 2 & 1 7 & 2 & 1 array ]A₄= [ array lll 1 & 0 & 1 0 & 2 & 3 1 & 2 & 1 array ]

Options

  1. AA₁
  2. BA₃
  3. CA₄
  4. DA₂

Correct answer

C. A₄

Step-by-step solution

Any Matrix is said to be invertiable only if | A | 0 Here |A₄ |= | array lll 1 & 0 & 1 0 & 2 & 3 1 & 2 & 1 array | =(-4)+1(-2)=-6 0

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