Question

How to find reflection matrix in PCA?

score 47 · Answer 1 · 2026-03-25 09:46:54

47

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How to find reflection matrix in PCA?

Published on 25 Mar 2026 - 9:46

score 124 · Answer 2 · 2026-04-16 07:56:45

124

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Let $S_n =\sum$(entries of $A^n$). Prove that $\log(S_n)/n$ converges to the logarithm of the eigenvalue of $A$ with largest modulus.

Published on 16 Apr 2026 - 7:56

score 872 · Answer 3 · 2026-04-11 19:16:17

872

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Proving an orthogonal matrix minus the identity matrix is invertible

Published on 11 Apr 2026 - 19:16

score 379 · Answer 4 · 2026-04-08 19:02:04

379

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Eigenvalues and eigenvectors of the matrix $A - sI$

Published on 08 Apr 2026 - 19:02

score 58 · Answer 5 · 2026-04-15 07:12:26

58

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Maximal trace of maps induced on $\Bbb R^d$ by a symmetric $n\times n$ matrix $M$ is the sum of the $d$ largest eigenvalues of $M$.

Published on 15 Apr 2026 - 7:12

score 69 · Answer 6 · 2026-04-15 11:24:14

69

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Find the eigenvalues and eigenvectors of $\alpha: Y \rightarrow Y \cap B.$

Published on 15 Apr 2026 - 11:24

score 216 · Answer 7 · 2026-03-26 04:35:47

216

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Finding the Eigenvalues of Special Block Matrix

Published on 26 Mar 2026 - 4:35

score 30 · Answer 8 · 2026-04-16 04:26:46

30

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Find a square matrix whose characteristic polynomial is $P(z)$

Published on 16 Apr 2026 - 4:26

score 37 · Answer 9 · 2026-04-14 19:59:57

37

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What conditions could make the commutator $[M^,M] = M^M - MM^*$ full-ranked? $M$ is not normal

Published on 14 Apr 2026 - 19:59

score 28 · Answer 10 · 2026-04-17 00:12:48

28

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Is it true that $\lambda_{\min} \left(\sum_{i=1}^m \mathbf{u}_i\mathbf{u}_i^t \right) \le \max_{1=1}^m \|\mathbf{u}_i\|_2^2$, for $m>n$?

Published on 17 Apr 2026 - 0:12

score 142 · Answer 11 · 2026-04-12 05:29:40

142

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Question about Eigenfunctions and as solutions to differential equations.

Published on 12 Apr 2026 - 5:29

score 77 · Answer 12 · 2026-04-17 13:01:58

77

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Let the eigen values of $A$ be distinct, $A=P\Lambda P^{-1}$ and $A^{T}=Q\Lambda Q^{-1}$,show that $Q^{T}P=I$

Published on 17 Apr 2026 - 13:01

score 136 · Answer 13 · 2026-04-13 04:35:36

136

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Cosine of a $2 \times 2$ non-diagonalisable matrix

Published on 13 Apr 2026 - 4:35

score 312 · Answer 14 · 2026-03-25 17:42:15

312

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Eigenvalues and Eigenvectors of the Adjacency Matrix of the Line Graph of a Bipartite Lattice

Published on 25 Mar 2026 - 17:42

score 248 · Answer 15 · 2026-04-10 13:21:46

248

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A few questions on matrix diagonalizability

Published on 10 Apr 2026 - 13:21

List Question

How to find reflection matrix in PCA?

Let $S_n =\sum$(entries of $A^n$). Prove that $\log(S_n)/n$ converges to the logarithm of the eigenvalue of $A$ with largest modulus.

Proving an orthogonal matrix minus the identity matrix is invertible

Eigenvalues and eigenvectors of the matrix $A - sI$

Maximal trace of maps induced on $\Bbb R^d$ by a symmetric $n\times n$ matrix $M$ is the sum of the $d$ largest eigenvalues of $M$.

Find the eigenvalues and eigenvectors of $\alpha: Y \rightarrow Y \cap B.$

Finding the Eigenvalues of Special Block Matrix

Find a square matrix whose characteristic polynomial is $P(z)$

What conditions could make the commutator $[M^,M] = M^M - MM^*$ full-ranked? $M$ is not normal

Is it true that $\lambda_{\min} \left(\sum_{i=1}^m \mathbf{u}_i\mathbf{u}_i^t \right) \le \max_{1=1}^m \|\mathbf{u}_i\|_2^2$, for $m>n$?

Question about Eigenfunctions and as solutions to differential equations.

Let the eigen values of $A$ be distinct, $A=P\Lambda P^{-1}$ and $A^{T}=Q\Lambda Q^{-1}$,show that $Q^{T}P=I$

Cosine of a $2 \times 2$ non-diagonalisable matrix

Eigenvalues and Eigenvectors of the Adjacency Matrix of the Line Graph of a Bipartite Lattice

A few questions on matrix diagonalizability

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