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MCQMediumJEE Main 2023 · 25 January, Shift 2Inverse & Adjoint of a Matrix

Mathematics Question from JEE Main 2023 · 25 January, Shift 2

Let

Image showing matrices A and B with entries involving 1 over root 10, 3 over root 10, and i, followed by the statement defining M in terms of A transpose, B, and A.

, then the inverse of the matrix AM2023ATA M^{2023} A^T is:

  • A
    Matrix option showing a 2 by 2 matrix with entries 1, negative 2023i, 0, and 1.
  • B
    Matrix option showing a 2 by 2 matrix with entries 1, 0, negative 2023i, and 1.
  • C
    Matrix option showing a 2 by 2 matrix with entries 1, 0, 2023i, and 1.
  • D
    Matrix option showing a 2 by 2 matrix with entries 1, 2023i, 0, and 1.

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