List questions from projection-matrices

Published on 06 Feb 2023 - 16:55

46

Views

$A: R^{n} \rightarrow R^{n}$, $A^{3}$ - projection. Eigenvalues and diag matrix in any basis.

Published on 15 Feb 2023 - 22:47

59

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Finding a relation between $P$ and $P^2$

Published on 16 Mar 2023 - 17:06

147

Views

Prove that a collection of certain polynomials sum to unity

Published on 21 Mar 2023 - 9:20

116

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Projection matrix product under operator norm

Published on 25 Mar 2026 - 19:01

61

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Is there a canonical way to express the orthogonal projection onto a hyperplane parametrized by a normal vector?

Published on 10 Apr 2023 - 2:05

73

Views

Spectrum of the projection of a matrix

Published on 13 Apr 2023 - 7:33

36

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Is $\mathbf{P_W} = \mathbf{X}(\mathbf{W}^T\mathbf{W})^{-1}\mathbf{X}^T$ a projection matrix on to the column space of $\mathbf{X}$?

Published on 13 Apr 2023 - 7:59

74

Views

What can be said about $AA^+$ for symmetric real matrices?

Published on 26 Mar 2026 - 17:36

24

Views

(idempotent)Does $rank(A) + rank(A-I_n)=n$ implies $A^2=A$?

Published on 26 Mar 2026 - 9:19

66

Views

Getting the original matrix from the projection

Published on 18 Jun 2023 - 19:14

105

Views

Standard Matrix

Published on 19 Jul 2023 - 12:14

119

Views

Inverse and Projection matrices

Published on 24 Jul 2023 - 13:36

39

Views

Proof of projection matrix multiplication with any vector

Published on 31 Jul 2023 - 6:11

26

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Interpretation/terminology of a matrix

Published on 26 Mar 2026 - 18:50

List Question

Magic Bases/Magic Unitaries with rank one projections

$A: R^{n} \rightarrow R^{n}$, $A^{3}$ - projection. Eigenvalues and diag matrix in any basis.

Finding a relation between $P$ and $P^2$

Prove that a collection of certain polynomials sum to unity

Projection matrix product under operator norm

Is there a canonical way to express the orthogonal projection onto a hyperplane parametrized by a normal vector?

Spectrum of the projection of a matrix

Is $\mathbf{P_W} = \mathbf{X}(\mathbf{W}^T\mathbf{W})^{-1}\mathbf{X}^T$ a projection matrix on to the column space of $\mathbf{X}$?

What can be said about $AA^+$ for symmetric real matrices?

(idempotent)Does $rank(A) + rank(A-I_n)=n$ implies $A^2=A$?

Getting the original matrix from the projection

Standard Matrix

Inverse and Projection matrices

Proof of projection matrix multiplication with any vector

Interpretation/terminology of a matrix

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