Question:
The Jacobian matrix for transforming from (x, y) to another orthogonal coordinates system (u, v) as shown in the figure is
The Jacobian matrix for transforming from (x, y) to another orthogonal coordinates system (u, v) as shown in the figure is
Updated On: Jul 15, 2025
- \(\frac{1}{\sqrt2}\begin{bmatrix} 1 & 1 \\ 1 & -1 \end{bmatrix}\)
- \(\frac{1}{\sqrt2}\begin{bmatrix} 1 & 1 \\ -1 & 1 \end{bmatrix}\)
- \(\frac{1}{\sqrt2}\begin{bmatrix} 1 & -1 \\ 1 & 1 \end{bmatrix}\)
- \(\frac{1}{\sqrt2}\begin{bmatrix} 1 & -1 \\ 1 & -1 \end{bmatrix}\)
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The Correct Option is C
Solution and Explanation
The correct option is (C) : \(\frac{1}{\sqrt2}\begin{bmatrix} 1 & -1 \\ 1 & 1 \end{bmatrix}\).
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