Transpose

Problem

[[1,1,1,1900],[0,0.01,0.02,20],[0,0,3,2400]]

Solution

1. Identify the dimensions of the original matrix, which is a 3×4 matrix (3 rows and 4 columns).

2. Apply the definition of a transpose, which involves switching the row indices with the column indices ((A_i*j)T=(A_j*i).

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. Rewrite the third row of the original matrix as the third column of the new matrix, resulting in a 4×3 matrix.

Final Answer

[[1,1,1,1900],[0,0.01,0.02,20],[0,0,3,2400]]T=[[1,0,0],[1,0.01,0],[1,0.02,3],[1900,20,2400]]

Want more problems? Check here!