Transpose [[-2,12],[-5,14],[-8,16],[-14,20]]

Problem

[[−2,12],[−5,14],[−8,16],[−14,20]]

Solution

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

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

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

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

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

Final Answer

[[−2,12],[−5,14],[−8,16],[−14,20]]T=[[−2,−5,−8,−14],[12,14,16,20]]

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