Transpose [[1,1,0,-1],[0,-1,1,1]]

Problem

[[1,1,0,−1],[0,−1,1,1]]

Solution

1. Identify the dimensions of the original matrix, which is a 2×4 matrix (2 rows and 4 columns).

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

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

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

5. Verify the dimensions of the resulting transposed matrix, which should be 4×2

Final Answer

[[1,1,0,−1],[0,−1,1,1]]T=[[1,0],[1,−1],[0,1],[−1,1]]

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