Transpose [[18,40],[50,82],[8,64],[32,50]]

Problem

[[18,40],[50,82],[8,64],[32,50]]T

Solution

1. Identify the dimensions of the original matrix. The given matrix has 4 rows and 2 columns (4×2.

2. Apply the definition of a transpose, which involves swapping the row indices with the column indices. The resulting matrix will have 2 rows and 4 columns (2×4.

3. Rewrite the first column of the original matrix as the first row of the new matrix. The values 18, 50, 8, 32$ become the first row.

4. Rewrite the second column of the original matrix as the second row of the new matrix. The values 40, 82, 64, 50$ become the second row.

Final Answer

[[18,40],[50,82],[8,64],[32,50]]T=[[18,50,8,32],[40,82,64,50]]

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