Transpose [[0,4.5],[100,4.2],[200,3.9]]

Problem

[[0,4.5],[100,4.2],[200,3.9]]

Solution

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

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

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

[0,100,200]

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

[4.5,4.2,3.9]

5. Construct the resulting 2×3 matrix.

Final Answer

[[0,4.5],[100,4.2],[200,3.9]]T=[[0,100,200],[4.5,4.2,3.9]]

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