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Transpose [[x,y,z],[2,3,4],[1,2,3]]

Problem

[[x,y,z],[2,3,4],[1,2,3]]

Solution

  1. Identify the rows and columns of the given 3×3 matrix.

  2. Apply the definition of a transpose, which involves swapping the row indices with the column indices.

  3. Rewrite the first row [x,y,z] as the first column of the new matrix.

  4. Rewrite the second row [2,3,4] as the second column of the new matrix.

  5. Rewrite the third row [1,2,3] as the third column of the new matrix.

Final Answer

[[x,y,z],[2,3,4],[1,2,3]]T=[[x,2,1],[y,3,2],[z,4,3]]


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