Discussion
The Jacobian \( \partial(u,v)/\partial(x,y) \) is the determinant of the matrix of
Answer: D
The Jacobian is
\[ \frac{\partial(u,v)}{\partial(x,y)} \;=\; \begin{vmatrix} u_{x} & u_{y} \\ v_{x} & v_{y} \end{vmatrix}, \]
a determinant of first derivatives. It measures the local factor by which area is stretched, which is why it appears when a double integral changes variables, and its vanishing signals that the transformation is locally degenerate
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development