List questions from linear-algebra

Published on 13 Feb 2018 - 9:54

83

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Is the determinant of $\lambda I-A$ product of diagonal entries, if for every $\sigma\neq \sigma_0$, $a_{1\sigma(1)}\dots a_{n\sigma(n)}=0,$?

Published on 25 Mar 2026 - 23:42

99

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When is $A^TR + RA = -2RA$

Published on 23 Mar 2026 - 3:24

189

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Integration with Cos function in denominator

Published on 13 Feb 2018 - 11:04

29

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What is the dimension of the solution vector space for $M=-M^t$ ($M\in M_{n\times n}^{\mathbb{C}})$?

Published on 25 Mar 2026 - 20:36

1.5k

Views

comparing vs equating coefficients

Published on 13 Feb 2018 - 12:12

378

Views

Proof of the Erdős–Kaplanski theorem?

Published on 25 Mar 2026 - 9:53

903

Views

Find a basis and dimension of $W=\{p\in \mathcal{P}_3\,|\,p(1)=0\}$

Published on 13 Feb 2018 - 14:03

288

Views

Isometry and Orthogonal Decomposition

Published on 28 Mar 2026 - 10:04

50

Views

If $f$ is defined with: $f:u\to(u(2), u'(2)) $ find all the solutions to $f(u)=(3,-2)$

Published on 25 Mar 2026 - 23:42

157

Views

Nonlinear Sylvester-like equation

Published on 27 Mar 2026 - 11:24

68

Views

Algebraic problem solving

Published on 31 Mar 2026 - 4:49

102

Views

linear combination of the eigenvectors of matrix M

Published on 26 Mar 2026 - 17:32

213

Views

Provig that the number $z_n$ of zero element of $A^{-1} $ satisfies $z_n\le n^2-2n$

Published on 25 Mar 2026 - 15:12

1.8k

Views

Orthogonality in different inner products

Published on 25 Mar 2026 - 7:41

List Question

About the linearity of a function

Is the determinant of $\lambda I-A$ product of diagonal entries, if for every $\sigma\neq \sigma_0$, $a_{1\sigma(1)}\dots a_{n\sigma(n)}=0,$?

When is $A^TR + RA = -2RA$

Integration with Cos function in denominator

What is the dimension of the solution vector space for $M=-M^t$ ($M\in M_{n\times n}^{\mathbb{C}})$?

comparing vs equating coefficients

Proof of the Erdős–Kaplanski theorem?

Find a basis and dimension of $W=\{p\in \mathcal{P}_3\,|\,p(1)=0\}$

Isometry and Orthogonal Decomposition

If $f$ is defined with: $f:u\to(u(2), u'(2)) $ find all the solutions to $f(u)=(3,-2)$

Nonlinear Sylvester-like equation

Algebraic problem solving

linear combination of the eigenvectors of matrix M

Provig that the number $z_n$ of zero element of $A^{-1} $ satisfies $z_n\le n^2-2n$

Orthogonality in different inner products

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