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MCQMediumJEE Main 2023 · 30 January, Shift 2Inverse & Adjoint of a Matrix

Mathematics Question from JEE Main 2023 · 30 January, Shift 2

If PP is a 3×33 \times 3 real matrix such that PT=aP+(a−1)IP^T = aP + (a-1)I, where a>1a > 1, then:

  • A

    PP is a singular matrix

  • B

    ∣Adj⁡P∣>1|\operatorname{Adj} P| > 1

  • C

    ∣Adj⁡P∣=12|\operatorname{Adj} P| = \frac{1}{2}

  • D

    ∣Adj⁡P∣=1|\operatorname{Adj} P| = 1

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