The Jacobian Matrix скачать в хорошем качестве

The Jacobian Matrix

In this video we discuss the concept of the Jacobian matrix. If given a function with multiple inputs and multiple outputs, the Jacobian matrix is a matrix of partial derivatives that measures the sensitivity of each output with respect to each input. This is the multi-dimension extension of the concept of the gradient of a function. Topics and timestamps: 0:00 – Introduction 0:45 – Derivative 5:53 – Gradient 12:42 – Jacobian 24:15 – Example 1 27:04 – Example 2 (nonlinear to linear ODE) Lecture notes and code can be downloaded from https://github.com/clum/YouTube/tree/... All Calculus videos in a single playlist (   • Calculus  ) #Calculus All Control Theory videos in a single playlist (   • Control Theory  ) #Control #ControlTheory All Ordinary Differential Equation videos in a single playlist (   • Ordinary Differential Equations  ) #ODEs #OrdinaryDifferentialEquations You can support this channel via Patreon at   / christopherwlum   or by clicking on the ‘Thanks’ button underneath the video. Thank you for your help!