Jacobian of the transformation 3x3 KristaKingMath. The Jacobian Matrix can be of any form. The Jacobian J uv in two variables is a 2 times 2 determinant.
And the Jacobian is merely a matrix.
In a jacobian matrix if m n 2 and the function f. The form of the Jacobian matrix can vary. Surface Area If. If you take a matrix N3 u v w where u v and w are column N-dimensional vectors that represent the new basis vectors in our output space then the jacobian is similarly a N3 matrix dfdx dfdy dfdz where dfdx is the column vector df1dx.