Question

The Jacobian matrix for transforming from (x, y) to another orthogonal coordinates system (u, v) as shown in the figure is

• A. \(\frac{1}{\sqrt2}\begin{bmatrix} 1 & 1 \\ 1 & -1 \end{bmatrix}\)
• B. \(\frac{1}{\sqrt2}\begin{bmatrix} 1 & 1 \\ -1 & 1 \end{bmatrix}\)
• C. \(\frac{1}{\sqrt2}\begin{bmatrix} 1 & -1 \\ 1 & 1 \end{bmatrix}\)
• D. \(\frac{1}{\sqrt2}\begin{bmatrix} 1 & -1 \\ 1 & -1 \end{bmatrix}\)

Answer 1

The Correct Option is C

The correct option is (C) : \(\frac{1}{\sqrt2}\begin{bmatrix} 1 & -1 \\ 1 & 1 \end{bmatrix}\).