👉 The Jacobian matrix is a fundamental object in multivariate calculus and linear algebra. It's defined as: \[ J = \begin{bmatrix} f'(x_1) & f'(x_2) & \dots & f'(x_n) \end{bmatrix}, \] where \(x_1, x_2, \ldots, x_n\) are the variables and \(f(x_1), f(x_2), \ldots, f(x
