List questions from linear-algebra

Published on 13 Apr 2026 - 9:57

327

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Prove non-zero eigenvalues of $A\Sigma A'$ and $A'A\Sigma$ are equal

Published on 15 Apr 2026 - 6:29

152

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Intersection of Normally distributed planes

Published on 16 Apr 2026 - 4:41

381

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Linear algebra (n x n) matrix

Published on 15 Apr 2026 - 9:46

143

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How to prove the following complex number is not $0$？

Published on 09 Apr 2026 - 5:32

135

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Does $\mathbf{u}^T \mathbf{J}\mathbf{u}= N\lambda_{\mathrm{max}}$ imply that $\mathbf{u}$ is the 'largest' eigenvector?

Published on 12 Apr 2026 - 6:41

39

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Is it necessary that $v\in U\cup V_\lambda$?

Published on 11 Apr 2026 - 7:25

99

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Quadratic equations in linear algebra

Published on 12 Apr 2026 - 17:56

96

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Let G,P be 3x3 matrices such that G=$PEP^{-1}$. Find a matrix Q such that G=$QFQ^{-1}$

Published on 17 Apr 2026 - 13:01

30

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Find a matrix A if given elements of R(A) and Ker(A)

Published on 14 Apr 2026 - 19:13

101

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Group action $GL(m,\mathbb{R}) \times GL(n,\mathbb{R})$

Published on 15 Apr 2026 - 11:48

173

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$A,B$ are orthogonal projections and $\|Ax\|^2+\|Bx\|^2=\|x\|^2$ show $A+B=I$

Published on 15 Apr 2026 - 5:02

692

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$40^8 \cdot 80^4 = 2^x \cdot 5^y$ -Finding the $x+y$

Published on 15 Apr 2026 - 16:13

1.2k

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Given a vector space V, the set of all subspaces is a lattice

Published on 13 Apr 2026 - 3:35

244

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Proving function space is a vector space

Published on 14 Apr 2026 - 2:33

List Question

Khatri-Rao product and normalized rows

Prove non-zero eigenvalues of $A\Sigma A'$ and $A'A\Sigma$ are equal

Intersection of Normally distributed planes

Linear algebra (n x n) matrix

How to prove the following complex number is not $0$？

Does $\mathbf{u}^T \mathbf{J}\mathbf{u}= N\lambda_{\mathrm{max}}$ imply that $\mathbf{u}$ is the 'largest' eigenvector?

Is it necessary that $v\in U\cup V_\lambda$?

Quadratic equations in linear algebra

Let G,P be 3x3 matrices such that G=$PEP^{-1}$. Find a matrix Q such that G=$QFQ^{-1}$

Find a matrix A if given elements of R(A) and Ker(A)

Group action $GL(m,\mathbb{R}) \times GL(n,\mathbb{R})$

$A,B$ are orthogonal projections and $\|Ax\|^2+\|Bx\|^2=\|x\|^2$ show $A+B=I$

$40^8 \cdot 80^4 = 2^x \cdot 5^y$ -Finding the $x+y$

Given a vector space V, the set of all subspaces is a lattice

Proving function space is a vector space

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