List questions from matrix-calculus

Published on 06 Oct 2016 - 17:22

121

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How to differentiate $x^TWLW^Tx$ w.r.t $W$?

Published on 25 Mar 2026 - 12:33

34

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How does the chain rule imply the following?

Published on 09 Oct 2016 - 15:07

11.3k

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How to write the derivative of a matrix product with respect to a matrix?

Published on 09 Oct 2016 - 17:17

30

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Is my statement correct?

Published on 09 Oct 2016 - 22:27

104

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Deriving the least-squares solution for this problem

Published on 30 Mar 2026 - 18:11

398

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Matrix by matrix differentiation question

Published on 10 Oct 2016 - 13:12

187

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Partial derivative of a function with respect to a Matrix

Published on 11 Oct 2016 - 17:17

163

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Why does this hacky derivation for least-squares regression work?

Published on 30 Mar 2026 - 3:53

1.1k

Views

$y^TX^TXy$ achieves minimum when its second derivative is positive definite.

Published on 28 Mar 2026 - 11:03

3.9k

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Matrix calculus in multiple linear regression OLS estimate derivation

Published on 30 Mar 2026 - 18:12

303

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Matrices: Example where $AB = I \ne BA$

Published on 02 Apr 2026 - 16:26

33

Views

Matrix spanning R$^3$

Published on 16 Oct 2016 - 10:21

624

Views

Looking for a reference to a proof of $(I - A)^{-1} = I + A + A^2 + A^3 + \ldots$

Published on 17 Oct 2016 - 18:37

85

Views

Evaluate $\lim_{j \rightarrow +\infty} (I + A/j)^j$

Published on 18 Oct 2016 - 13:02

List Question

Eigen values of matrices when adding an extra term

How to differentiate $x^TWLW^Tx$ w.r.t $W$?

How does the chain rule imply the following?

How to write the derivative of a matrix product with respect to a matrix?

Is my statement correct?

Deriving the least-squares solution for this problem

Matrix by matrix differentiation question

Partial derivative of a function with respect to a Matrix

Why does this hacky derivation for least-squares regression work?

$y^TX^TXy$ achieves minimum when its second derivative is positive definite.

Matrix calculus in multiple linear regression OLS estimate derivation

Matrices: Example where $AB = I \ne BA$

Matrix spanning R$^3$

Looking for a reference to a proof of $(I - A)^{-1} = I + A + A^2 + A^3 + \ldots$

Evaluate $\lim_{j \rightarrow +\infty} (I + A/j)^j$

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