Dec 31, 2025 · Matrix calculus is about doing calculus, especially derivative and infinite series over spaces of vectors and matrices.

Can anyone explain the partial derivative below: $\\frac{\\partial a^tX^{-1}b}{\\partial X} = -X^{-t}ab^tX^{-t}$ I was trying to derive this equation using the below formula, but failed.

Dec 20, 2010 · What is the Jacobian matrix? What are its applications? What is its physical and geometrical meaning? Can someone please explain with examples?

Nov 27, 2021 · Understanding numerator/denominator layout in matrix-calculus Ask Question Asked 4 years, 1 month ago Modified 2 years, 8 months ago

Aug 2, 2017 · Does anyone have an insight on how to get better in matrix calculus (specially derivative with respect to vector or matrix) or how should I study such books? Thanks in advance.

Aug 21, 2025 · The answer has to do with the definition of the gradient relative to the definition of the derivative/Jacobian matrix. Consider a smooth function f: Rn → R f: R n → R.

This is why there are no dedicated courses on matrix calculus--there's nothing really new to the game. On Wikipedia you can scroll through seemingly endless formulas with derivatives of scalars with …

The major trouble in matrix calculus is that the things are no longer commuting, but one tends to use formulae from the scalar function calculus like (x(t)−1)′ = −x(t)−2x′(t) (x (t) 1) = x (t) 2 x (t) replacing x …

Sep 14, 2022 · Chain rule and vector-matrix calculus Ask Question Asked 3 years, 3 months ago Modified 3 years, 3 months ago

Jun 21, 2021 · Derivatives of matrix inverse and determinant can be obtained in matrix form this way. Below is a cheat-sheet of some standard matrix differential calculus results and exercises to get …