List questions from projection-matrices

Published on 06 Dec 2019 - 2:47

437

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$\lambda_{\min}$ and $\lambda_{\max}$ of rank-1 sum of matrices

Published on 23 Feb 2026 - 6:56

277

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Eigenvalues related to oblique projections

Published on 18 Dec 2019 - 12:33

70

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What is the maximum number of vectors in $\mathbb C^d$ with the "uniform overlap property"?

Published on 26 Dec 2019 - 13:02

240

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Projector of an eigenvector

Published on 28 Dec 2019 - 11:03

256

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Null Space and Image of Projection

Published on 31 Dec 2019 - 0:15

88

Views

Optimal low-rank approximation of a matrix for given basis

Published on 04 Jan 2020 - 22:06

43

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Orthogonal Subspace: $A_p$ and $B_p$ are orthogonally projected by the same projector $P$. Is there always $P$ so that $A_p=QB_p$, where $Q\in O(k)$?

Published on 06 Jan 2020 - 7:25

72

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On the null spaces of projection operators having the same range

Published on 12 Jan 2020 - 11:08

798

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Transpose of a matrix and the product $A A^\top$

Published on 26 Mar 2026 - 6:29

40

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Since $~P(X) ~\bot~ x-P(X)~ $, we have $~||x||^2=||p(x)||^2+||x-P(x) ||^2~$

Published on 20 Jan 2020 - 11:52

46

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Subspaces of the projection - matrix

Published on 22 Jan 2020 - 10:08

1.6k

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Does a projection matrix have to be a square matrix?

Published on 24 Jan 2020 - 20:10

460

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Prove that Px1Px = Px1, and Mx1Mx = Mx

Published on 25 Jan 2020 - 1:57

218

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How do you write the projection operator of a direct sum in terms of basis elements?

Published on 29 Jan 2020 - 6:01

List Question

Eigenvalues of Eigenvectors of Projection and Reflection Matrices

$\lambda_{\min}$ and $\lambda_{\max}$ of rank-1 sum of matrices

Eigenvalues related to oblique projections

What is the maximum number of vectors in $\mathbb C^d$ with the "uniform overlap property"?

Projector of an eigenvector

Null Space and Image of Projection

Optimal low-rank approximation of a matrix for given basis

Orthogonal Subspace: $A_p$ and $B_p$ are orthogonally projected by the same projector $P$. Is there always $P$ so that $A_p=QB_p$, where $Q\in O(k)$?

On the null spaces of projection operators having the same range

Transpose of a matrix and the product $A A^\top$

Since $~P(X) ~\bot~ x-P(X)~ $, we have $~||x||^2=||p(x)||^2+||x-P(x) ||^2~$

Subspaces of the projection - matrix

Does a projection matrix have to be a square matrix?

Prove that Px1Px = Px1, and Mx1Mx = Mx

How do you write the projection operator of a direct sum in terms of basis elements?

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