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Projection matrices $\mathbf{A}^{+}\mathbf{A}$ and $\mathbf{A}\mathbf{A}^{+}$

score 1.9k · Answer 1 · 2026-03-25 20:41:27

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Projection matrices $\mathbf{A}^{+}\mathbf{A}$ and $\mathbf{A}\mathbf{A}^{+}$

Published on 25 Mar 2026 - 20:41

score 1.5k · Answer 2 · 2018-12-08 02:01:54

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How to find projection matrix of the singular matrix onto fundamental subspaces?

Published on 08 Dec 2018 - 2:01

score 296 · Answer 3 · 2018-12-13 16:40:19

296

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Prove that $p ◦ p = p$. (Representing a Linear Transformation as a Matrix)

Published on 13 Dec 2018 - 16:40

score 58 · Answer 4 · 2018-12-14 10:35:15

58

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Let $(v_1, v_2)$ be a basis for $\text{Im}(p)$ and $(v_3)$ be a basis for $\ker(p)$. Prove that $B' = (v_1, v_2, v_3)$ is a basis for $V$ .

Published on 14 Dec 2018 - 10:35

score 62 · Answer 5 · 2026-03-25 14:39:10

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Inequality involving projectors on a Hilbert space isomorphic to $\mathbb{C}^n$

Published on 25 Mar 2026 - 14:39

score 59 · Answer 6 · 2026-03-25 11:06:44

59

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If matrices $A$ and $AB$ have full column rank, how do I prove that $P_A - P_{AB}$ is positive semidefinite?

Published on 25 Mar 2026 - 11:06

score 97 · Answer 7 · 2026-03-26 07:43:11

97

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Projection Matrixes, $A,B$ such that $\text{Id} - (A+B)$ is invertible

Published on 26 Mar 2026 - 7:43

score 228 · Answer 8 · 2018-12-26 14:40:50

228

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Identity involving a projection matrix, originating from statistical regression theory

Published on 26 Dec 2018 - 14:40

score 162 · Answer 9 · 2018-12-30 21:26:17

162

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Eigenvalues of Orthogonal Projection, using representative matrix

Published on 30 Dec 2018 - 21:26

score 913 · Answer 10 · 2026-03-25 14:26:09

913

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What is the set of all isometric matrix in $\mathbb{R}^{k \times d}$?

Published on 25 Mar 2026 - 14:26

score 74 · Answer 11 · 2026-03-25 23:37:42

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Projection of a vector into the nullspace of a matrix

Published on 25 Mar 2026 - 23:37

score 56 · Answer 12 · 2019-01-19 19:14:27

56

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How to find the near close aspect ratio of a billboard from a distance photo?

Published on 19 Jan 2019 - 19:14

score 82 · Answer 13 · 2019-01-28 16:43:10

82

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Higher moments of linear regression residuals?

Published on 28 Jan 2019 - 16:43

score 299 · Answer 14 · 2019-02-02 18:50:03

299

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Matrix of an orthogonal projector represented in the canonical basis

Published on 02 Feb 2019 - 18:50

score 2.9k · Answer 15 · 2019-02-06 23:48:01

2.9k

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When is the sum and difference of two projection matrices $P_1$ and $P_2$ a projection matrix?

Published on 06 Feb 2019 - 23:48

List Question

Projection matrices $\mathbf{A}^{+}\mathbf{A}$ and $\mathbf{A}\mathbf{A}^{+}$

How to find projection matrix of the singular matrix onto fundamental subspaces?

Prove that $p ◦ p = p$. (Representing a Linear Transformation as a Matrix)

Let $(v_1, v_2)$ be a basis for $\text{Im}(p)$ and $(v_3)$ be a basis for $\ker(p)$. Prove that $B' = (v_1, v_2, v_3)$ is a basis for $V$ .

Inequality involving projectors on a Hilbert space isomorphic to $\mathbb{C}^n$

If matrices $A$ and $AB$ have full column rank, how do I prove that $P_A - P_{AB}$ is positive semidefinite?

Projection Matrixes, $A,B$ such that $\text{Id} - (A+B)$ is invertible

Identity involving a projection matrix, originating from statistical regression theory

Eigenvalues of Orthogonal Projection, using representative matrix

What is the set of all isometric matrix in $\mathbb{R}^{k \times d}$?

Projection of a vector into the nullspace of a matrix

How to find the near close aspect ratio of a billboard from a distance photo?

Higher moments of linear regression residuals?

Matrix of an orthogonal projector represented in the canonical basis

When is the sum and difference of two projection matrices $P_1$ and $P_2$ a projection matrix?

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