Transpose [[15e^t,2d+5],[10e^t,3d+1],[21e^t,4d+6]]

Problem

[[15*et,2*d+5],[10*et,3*d+1],[21*et,4*d+6]]

Solution

1. Identify the dimensions of the original matrix, which is a 3×2 matrix (3 rows and 2 columns).

2. Apply the transpose operation by swapping the rows and columns, such that the element at row i column j moves to row j column i

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

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

5. Determine the dimensions of the resulting matrix, which is now a 2×3 matrix.

Final Answer

[[15*et,2*d+5],[10*et,3*d+1],[21*et,4*d+6]]T=[[15*et,10*et,21*et],[2*d+5,3*d+1,4*d+6]]

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