List questions from numerical-linear-algebra

Published on 25 Mar 2026 - 5:58

127

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$E(x) = \mathbb{I}_{n} - xx^{} $ is nonsingular if and only if $x^{}x \neq 1$

Published on 23 Mar 2026 - 9:45

135

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Existence of solution to system of linear equations with stochastic coefficients matrix

Published on 25 Mar 2026 - 23:37

149

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Prove that $k(A) \geq \rho(A)/\min |\lambda|$ and that $k(A) \geq \rho(A) \rho(A^{-1})$

Published on 25 Mar 2026 - 2:03

1.4k

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Classical Gram-Schmidt for matrix $A$

Published on 25 Mar 2026 - 2:57

33

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How to find uppper bound for the hyper parameters in linear model?

Published on 25 Mar 2026 - 11:10

1.8k

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Soving overdetermined system of linear equations using SVD

Published on 23 Mar 2026 - 15:18

288

Views

Computing invariant subspace of matrix group algorithmically

Published on 22 Mar 2026 - 22:33

1.4k

Views

Proof of sub-multiplicative property in Frobenius norm for $n\times n$ matrices $||AB||_{F}\leq||A||_{F}||B||_{F}$

Published on 26 Mar 2026 - 2:56

279

Views

Cholesky of a submatrix

Published on 27 Mar 2026 - 15:36

276

Views

perturbation inverse matrix power series

Published on 22 Mar 2026 - 16:31

847

Views

Change of basis in two dimensions when the basis vectors have different dimensions.

Published on 22 Mar 2026 - 23:53

225

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Perturbation of matrix SVD

Published on 22 Mar 2026 - 22:00

40

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determine matrix and vector to fit regularized normal equation

Published on 25 Mar 2026 - 6:19

920

Views

Prove that rank(A) = rank(A$^\dagger$)=rank(AA$^\dagger$)=rank(A$^\dagger$A) using the SVD decomposition

Published on 25 Mar 2026 - 11:13

List Question

Nocedal & Wright — singular values bounded away from zero

$E(x) = \mathbb{I}_{n} - xx^{} $ is nonsingular if and only if $x^{}x \neq 1$

Existence of solution to system of linear equations with stochastic coefficients matrix

Prove that $k(A) \geq \rho(A)/\min |\lambda|$ and that $k(A) \geq \rho(A) \rho(A^{-1})$

Classical Gram-Schmidt for matrix $A$

How to find uppper bound for the hyper parameters in linear model?

Soving overdetermined system of linear equations using SVD

Computing invariant subspace of matrix group algorithmically

Proof of sub-multiplicative property in Frobenius norm for $n\times n$ matrices $||AB||_{F}\leq||A||_{F}||B||_{F}$

Cholesky of a submatrix

perturbation inverse matrix power series

Change of basis in two dimensions when the basis vectors have different dimensions.

Perturbation of matrix SVD

determine matrix and vector to fit regularized normal equation

Prove that rank(A) = rank(A$^\dagger$)=rank(AA$^\dagger$)=rank(A$^\dagger$A) using the SVD decomposition

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