Transpose [[9,6,0],[2,5,36]]

Problem

[[9,6,0],[2,5,36]]T

Solution

1. Identify the dimensions of the original matrix. The matrix has 2 rows and 3 columns (2×3.

2. Apply the definition of a transpose, which involves switching the row indices with the column indices. The resulting matrix will have 3 rows and 2 columns (3×2.

3. Rewrite the first row of the original matrix as the first column of the new matrix. The elements 9, 6, 0$ move from the first row to the first column.

4. Rewrite the second row of the original matrix as the second column of the new matrix. The elements 2, 5, 36$ move from the second row to the second column.

Final Answer

[[9,6,0],[2,5,36]]T=[[9,2],[6,5],[0,36]]

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