Transpose [[1,1],[0.05,0.1],[2,-1]]

Problem

[[1,1],[0.05,0.1],[2,−1]]T

Solution

1. Identify the dimensions of the original matrix. The given matrix has 3 rows and 2 columns, making it a 3×2 matrix.

2. Apply the definition of a transpose. To transpose a matrix, the rows of the original matrix become the columns of the new matrix, and the columns become the rows.

3. Rearrange the elements. The first column of the original matrix becomes the first row of the transposed matrix, and the second column becomes the second row. This results in a 2×3 matrix.

Final Answer

[[1,1],[0.05,0.1],[2,−1]]T=[[1,0.05,2],[1,0.1,−1]]

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