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Matrices and Determinants question

2017 · 8 Apr · Shift 1 · Q31
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Matrices and Determinants question

2017 · 8 Apr · Shift 1 · Q31

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1
Let A be any 3 ×\times× 3 invertible matrix. Then which one of the following is not always true ?
  1. A
    adj (A) = ∣\left| \right.∣ A ∣\left| \right.∣.A −-− 1
  2. B
    adj (adj(A)) = ∣\left| \right.∣ A ∣\left| \right.∣.A
  3. C
    adj (adj(A)) = ∣\left| \right.∣ A ∣\left| \right.∣ 2.(adj(A)) −-− 1
  4. D
    adj (adj(A)) = ∣ \left| \, \right.∣ A ∣ \left| \, \right.∣.(adj(A)) −-− 1
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