Transpose [[5,2],[3,6]]

Problem

[[5,2],[3,6]]T

Solution

1. Identify the matrix dimensions and elements. The given matrix is a 2×2 matrix where the first row is (5,2) and the second row is (3,6)

2. Apply the definition of a transpose. To transpose a matrix, switch its rows and columns. The element at position (i,j) moves to position (j,i)

3. Rewrite the first row as the first column. The elements 5 and 2 move from the first row to the first column.

4. Rewrite the second row as the second column. The elements 3 and 6 move from the second row to the second column.

Final Answer

[[5,2],[3,6]]T=[[5,3],[2,6]]

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