Transpose [[cos(x),-sin(x)],[sin(x),cos(x)]]

Problem

[[cos(x),−sin(x)],[sin(x),cos(x)]]

Solution

1. Identify the definition of the transpose of a matrix, which involves swapping the rows and columns.

2. Swap the element at row 1, column 2 with the element at row 2, column 1.

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.

Final Answer

[[cos(x),−sin(x)],[sin(x),cos(x)]]T=[[cos(x),sin(x)],[−sin(x),cos(x)]]

Want more problems? Check here!