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Subject:  Linear Algebra

Transpose of [[1, 2, 3], [4, 5, 6]]

Swap the rows and columns of a 2×3 matrix.

Answer [[1, 4], [2, 5], [3, 6]]

Solution

  1. Matrix A 2×3 [[1, 2, 3], [4, 5, 6]]
  2. Rule The transpose Aᵀ swaps rows and columns: (Aᵀ)ᵢⱼ = Aⱼᵢ.
  3. Transpose Aᵀ 3×2 [[1, 4], [2, 5], [3, 6]]

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