Transpose (2,-1),[[1,1],[1,4],[1,-2]]

Problem

([2,−1]),([1,1],[1,4],[1,−2])

Solution

1. Identify the objects to be transposed. The first is a 1×2 row vector and the second is a 3×2 matrix.

2. Apply the transpose to the row vector by converting its row into a column.

([2,−1])T=([2],[−1])

3. Apply the transpose to the matrix by switching its rows and columns. The element at row i column j moves to row j column i

4. Rewrite the 3×2 matrix as a 2×3 matrix.

([1,1],[1,4],[1,−2])T=([1,1,1],[1,4,−2])

Final Answer

([2],[−1]),([1,1,1],[1,4,−2])

Want more problems? Check here!