Question

Explain the term Jacobian.

Answer 1

Definition of Jacobian:

1. Jacobian is defined as the determinant of the Jacobian Matrix, where the matrix consists of all partial derivatives of a vector function.
2. It is mostly used in the transformation of coordinates.
3. It plays a major role in differentiation with coordinate transformation.

Examples of Jacobian:

Transformation of image of point $\left(x,y\right)$ is represented as $\left(x\text{'},y\text{'}\right)$.