List questions from matrix-calculus

Published on 25 Mar 2026 - 23:37

359

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Derivative of a matrix using Kronecker product

Published on 25 Mar 2026 - 6:01

210

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Formula of PRML(3.13) about matrix derivative

Published on 11 Sep 2018 - 12:28

148

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Closed-form derivative of a matrix function

Published on 12 Sep 2018 - 1:28

194

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low-complexity matrix inversion algorithm for a near-identity matrix?

Published on 25 Mar 2026 - 1:15

254

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Computing the derivative of matrix inverse using the chain rule

Published on 12 Sep 2018 - 8:56

69

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A matrix problem about egienvalue and trace

Published on 25 Mar 2026 - 7:47

126

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find $(x,y,z)$ that minimizes $\frac{\sum_{i=1}^{N}(a_i x + b_i y+ c_i z)^2}{\sum_{i=1}^{N}(d_{i} x + e_{i} y+ f_{i} z)^2}$

Published on 12 Sep 2018 - 13:31

111

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Write this in matrix form?

Published on 12 Sep 2018 - 13:46

173

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Find $\mathbf{X}$ that minimizes ${tr(\mathbf{X}^T\mathbf{P}\mathbf{X})}/{tr(\mathbf{X}^T\mathbf{Q}\mathbf{X})}$

Published on 12 Sep 2018 - 21:59

411

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Minimize ${tr(\mathbf{X}^T\mathbf{P}\mathbf{X})}/{tr(\mathbf{X}^T\mathbf{Q}\mathbf{X})}$ s.t. $\mathbf{X}^T\mathbf{X}=\mathbf{I}$

Published on 13 Sep 2018 - 14:46

51

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Column vectors being linearly dependent IFF there exists a column having no pivot

Published on 15 Sep 2018 - 2:50

90

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Rearranging matrix

Published on 16 Sep 2018 - 20:39

443

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deriving the formula for multinomial linear regression

Published on 25 Mar 2026 - 16:06

137

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find the derivative of a function that involves complex-valued matrices

Published on 17 Sep 2018 - 3:33

List Question

Find $c$, $d$ and $G$ such that $B = (A + cd)G$.

Derivative of a matrix using Kronecker product

Formula of PRML(3.13) about matrix derivative

Closed-form derivative of a matrix function

low-complexity matrix inversion algorithm for a near-identity matrix?

Computing the derivative of matrix inverse using the chain rule

A matrix problem about egienvalue and trace

find $(x,y,z)$ that minimizes $\frac{\sum_{i=1}^{N}(a_i x + b_i y+ c_i z)^2}{\sum_{i=1}^{N}(d_{i} x + e_{i} y+ f_{i} z)^2}$

Write this in matrix form?

Find $\mathbf{X}$ that minimizes ${tr(\mathbf{X}^T\mathbf{P}\mathbf{X})}/{tr(\mathbf{X}^T\mathbf{Q}\mathbf{X})}$

Minimize ${tr(\mathbf{X}^T\mathbf{P}\mathbf{X})}/{tr(\mathbf{X}^T\mathbf{Q}\mathbf{X})}$ s.t. $\mathbf{X}^T\mathbf{X}=\mathbf{I}$

Column vectors being linearly dependent IFF there exists a column having no pivot

Rearranging matrix

deriving the formula for multinomial linear regression

find the derivative of a function that involves complex-valued matrices

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