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Question 250002
JEE Mathematics · Easy

Matrices and Determinants: Transpose MCQ

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TransposeEasyQuestion 250002

Question

If A = [[1, 2], [3, 4]], then Aᵀ is:
  1. A
    [[1,3],[2,4]]
    Correct
  2. B
    [[4,3],[2,1]]
  3. C
    [[1,2],[3,4]]
  4. D
    [[2,1],[4,3]]

Correct answer

[[1,3],[2,4]]

Explanation

Transpose swaps rows and columns: (Aᵀ)ᵢⱼ = Aⱼᵢ. Row 1 of A becomes column 1 of Aᵀ: [1,2] → column [1,2]ᵀ.

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