Transpose [[0,-2,3],[1,7,4],[3,5,9]]

Problem

[[0,−2,3],[1,7,4],[3,5,9]]

Solution

1. Identify the definition of the transpose operation, which involves switching the row indices and column indices of a matrix.

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

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

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

Final Answer

[[0,−2,3],[1,7,4],[3,5,9]]T=[[0,1,3],[−2,7,5],[3,4,9]]

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