Transpose

Problem

[[−2,3,−1,3],[−3,1,3,0],[0,1,5,0],[6,4,−2,−6]]T

Solution

1. Identify the rows of the original matrix. The rows are (−2,3,−1,3) (−3,1,3,0) (0,1,5,0) and (6,4,−2,−6)

2. Apply the transpose operation by converting each row of the original matrix into a column of the new matrix. The first row becomes the first column, the second row becomes the second column, and so on.

3. Construct the resulting matrix by placing the elements (a_i*j) into the position (a_j*i)

Final Answer

[[−2,3,−1,3],[−3,1,3,0],[0,1,5,0],[6,4,−2,−6]]T=[[−2,−3,0,6],[3,1,1,4],[−1,3,5,−2],[3,0,0,−6]]

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