Transpose

Problem

[[−7.7645,−2.526,6.5685],[−1.2505,0.018,1.8993],[−3.4475,−0.546,2.6835]]T

Solution

1. Identify the rows and columns of the original 3×3 matrix.

2. Apply the transpose operation by switching the row indices with the column indices, which means the first row becomes the first column, the second row becomes the second column, and the third row becomes the third column.

3. Rewrite the elements in their new positions to form the transposed matrix.

Final Answer

[[−7.7645,−2.526,6.5685],[−1.2505,0.018,1.8993],[−3.4475,−0.546,2.6835]]T=[[−7.7645,−1.2505,−3.4475],[−2.526,0.018,−0.546],[6.5685,1.8993,2.6835]]

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