List questions from matrix-equations

Published on 23 Mar 2026 - 2:02

117

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Matricial form of multidimensional GBM

Published on 17 Mar 2026 - 5:38

38

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solve $\mu\cdot P^6=d$ with $P$ a matrix

Published on 22 Feb 2018 - 18:51

80

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Matrix equation $Z - {}^t Z =c A Z$

Published on 24 Mar 2026 - 12:28

61

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Simplify the following expression by matrix calculus and orthonormal properties of eigenfunctions

Published on 23 Mar 2026 - 0:15

25

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orthogonal vectors in the row space of set inclusion matrices

Published on 24 Mar 2026 - 23:46

109

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We are asked to find all solutions

Published on 25 Feb 2018 - 13:16

157

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Inverse Matrix of a sum

Published on 25 Feb 2018 - 13:43

238

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Control theory - feedback control of a damped oscillator to stabilise velocity

Published on 24 Mar 2026 - 23:46

69

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Existence of solutions of AX = B, where X is a matrix.

Published on 28 Feb 2018 - 22:07

146

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Square matrix of A has nonzero determinant if and only if the characteristic equation has all nonzero roots

Published on 01 Mar 2018 - 15:31

537

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Maximum number of non-zero elements for an (n, n) matrix product

Published on 25 Mar 2026 - 1:27

295

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For the matrices given, find an invertible matrix $U$ such that $UA=B$ and express $U$ as a product of elementary matrices.

Published on 01 Mar 2018 - 23:38

328

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For the OLS estimator $\hat{\beta}$, show that: $SS_e(\beta)=SS_{Res}+(\beta-\hat{\beta})'X'X(\beta-\hat{\beta})$

Published on 24 Mar 2026 - 20:38

65

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Matrix characteristics and its polynomial

Published on 03 Mar 2018 - 15:06

List Question

Special case of Lyapunov equation $AP+PA=-I$

Matricial form of multidimensional GBM

solve $\mu\cdot P^6=d$ with $P$ a matrix

Matrix equation $Z - {}^t Z =c A Z$

Simplify the following expression by matrix calculus and orthonormal properties of eigenfunctions

orthogonal vectors in the row space of set inclusion matrices

We are asked to find all solutions

Inverse Matrix of a sum

Control theory - feedback control of a damped oscillator to stabilise velocity

Existence of solutions of AX = B, where X is a matrix.

Square matrix of A has nonzero determinant if and only if the characteristic equation has all nonzero roots

Maximum number of non-zero elements for an (n, n) matrix product

For the matrices given, find an invertible matrix $U$ such that $UA=B$ and express $U$ as a product of elementary matrices.

For the OLS estimator $\hat{\beta}$, show that: $SS_e(\beta)=SS_{Res}+(\beta-\hat{\beta})'X'X(\beta-\hat{\beta})$

Matrix characteristics and its polynomial

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