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

Problem

[[1,2,3],[x,y,z]]^T

Solution

1. Identify the dimensions of the original matrix, which is a 2×3 matrix (2 rows and 3 columns).

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

3. Rewrite the first row of the original matrix as the first column of the new matrix.

4. Rewrite the second row of the original matrix as the second column of the new matrix.

5. Determine the dimensions of the resulting matrix, which is now a 3×2 matrix.

Final Answer

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

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