List questions from matrix-decomposition

102

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Singular value decomposition, A=UΣV', formula for mapping arbitrary vector x (Belonging to R of D dimensions)

Published on 16 Oct 2019 - 15:53

2.2k

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LU factorization for finding inverse matrix

Published on 25 Mar 2026 - 4:44

2.9k

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Jordan canonical form for a 4 by 4 matrix

Published on 29 Oct 2019 - 4:38

50

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How to prove this identity involving traces of resolvents?

Published on 31 Oct 2019 - 14:58

42

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Proving the positive semidefiniteness of a matrix

Published on 26 Mar 2026 - 2:54

908

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Gaussian LU and Crout's Method give me different answers

Published on 03 Nov 2019 - 4:31

553

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Show that spectral decomposition has same eigenvalues than the matrix its decomposed from.

Published on 04 Nov 2019 - 17:28

533

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Is singular value matrix uniquely determined up to permuting rows and columns.

Published on 26 Mar 2026 - 19:16

124

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Is A still an M matrix after one gaussian elimination?

Published on 07 Nov 2019 - 13:30

54

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Polar decomposition not assuming positive-semidefiniteness of the Hermitian matrix

Published on 26 Mar 2026 - 4:34

34

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Matrix Algebra: Find $v$ for $\|Ax\|_F\leq v \|x\|_F$

Published on 14 Nov 2019 - 1:47

526

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On the non-uniqueness of the QR factorization

Published on 18 Nov 2019 - 17:10

639

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Does a real, non-symmetric, non-negative definite matrix have a unique non-negative definite square root?

Published on 27 Mar 2026 - 2:01

99

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K is PD, Prove $B=K_{2}-\ell_{1}u_{1}^{T}$ is also PD

Published on 19 Nov 2019 - 17:21

122

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Smallest singular value is the reciprocal of the largest singular value?

Published on 26 Mar 2026 - 20:39

List Question

Singular value decomposition, A=UΣV', formula for mapping arbitrary vector x (Belonging to R of D dimensions)

LU factorization for finding inverse matrix

Jordan canonical form for a 4 by 4 matrix

How to prove this identity involving traces of resolvents?

Proving the positive semidefiniteness of a matrix

Gaussian LU and Crout's Method give me different answers

Show that spectral decomposition has same eigenvalues than the matrix its decomposed from.

Is singular value matrix uniquely determined up to permuting rows and columns.

Is A still an M matrix after one gaussian elimination?

Polar decomposition not assuming positive-semidefiniteness of the Hermitian matrix

Matrix Algebra: Find $v$ for $\|Ax\|_F\leq v \|x\|_F$

On the non-uniqueness of the QR factorization

Does a real, non-symmetric, non-negative definite matrix have a unique non-negative definite square root?

K is PD, Prove $B=K_{2}-\ell_{1}u_{1}^{T}$ is also PD

Smallest singular value is the reciprocal of the largest singular value?

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