Question

Prove that a self adjoint and idempotent matrix is a orthogonal projection matrix.

score 3.8k · Answer 1 · 2017-12-26 15:33:18

3.8k

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Prove that a self adjoint and idempotent matrix is a orthogonal projection matrix.

Published on 26 Dec 2017 - 15:33

score 215 · Answer 2 · 2017-12-26 19:29:49

215

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Every linear orthogonal transformation can be represented as a block matrix

Published on 26 Dec 2017 - 19:29

score 230 · Answer 3 · 2017-12-28 17:26:40

230

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Find a rotation matrix that sends $v$ to $u$

Published on 28 Dec 2017 - 17:26

score 38 · Answer 4 · 2018-01-02 12:38:48

38

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Orthogonal matrix pairs connected by rescaling of rows and columns

Published on 02 Jan 2018 - 12:38

score 1k · Answer 5 · 2018-01-02 18:29:06

1k

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Show that this matrix is singular

Published on 02 Jan 2018 - 18:29

score 71 · Answer 6 · 2018-01-03 22:23:05

71

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How to orthogonally project to boundary of the ball $\mathcal{B}_r(0)\triangleq\{Y\in\mathbb{R}^{n\times n}:\|Y\|_2<r\} $?

Published on 03 Jan 2018 - 22:23

score 70 · Answer 7 · 2018-01-05 17:10:26

70

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Find a Orthogonal Transformation that sends a plane into another

Published on 05 Jan 2018 - 17:10

score 649 · Answer 8 · 2018-01-08 16:51:49

649

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Published on 08 Jan 2018 - 16:51

score 1k · Answer 9 · 2018-01-09 13:21:17

1k

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Published on 09 Jan 2018 - 13:21

score 65 · Answer 10 · 2018-01-12 07:05:02

65

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Isotropic tensor field depending a vector

Published on 12 Jan 2018 - 7:05

score 4.1k · Answer 11 · 2011-01-23 21:13:17

4.1k

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Compactness of the set of $n \times n$ orthogonal matrices

Published on 23 Jan 2011 - 21:13

score 3.9k · Answer 12 · 2011-03-27 13:39:11

3.9k

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Why is the orthogonal group $\operatorname{O}(2n,\mathbb R)$ not the direct product of $\operatorname{SO}(2n, \mathbb R)$ and $\mathbb Z_2$?

Published on 27 Mar 2011 - 13:39

score 55.3k · Answer 13 · 2026-03-28 01:07:36

55.3k

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What is the geometric interpretation of the transpose?

Published on 28 Mar 2026 - 1:07

score 3.7k · Answer 14 · 2011-09-02 17:34:55

3.7k

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Orthogonal matrix over cross product

Published on 02 Sep 2011 - 17:34

score 17.6k · Answer 15 · 2011-09-28 03:37:43

17.6k

Views

Why does $A^TA=I, \det A=1$ mean $A$ is a rotation matrix?

Published on 28 Sep 2011 - 3:37

List Question

Prove that a self adjoint and idempotent matrix is a orthogonal projection matrix.

Every linear orthogonal transformation can be represented as a block matrix

Find a rotation matrix that sends $v$ to $u$

Orthogonal matrix pairs connected by rescaling of rows and columns

Show that this matrix is singular

How to orthogonally project to boundary of the ball $\mathcal{B}_r(0)\triangleq\{Y\in\mathbb{R}^{n\times n}:\|Y\|_2<r\} $?

Find a Orthogonal Transformation that sends a plane into another

Deriving the Optimal Solution of the Orthogonal Procrustes Problem

An orthogonal matrix which sends a vector to other vector with same length.

Isotropic tensor field depending a vector

Compactness of the set of $n \times n$ orthogonal matrices

Why is the orthogonal group $\operatorname{O}(2n,\mathbb R)$ not the direct product of $\operatorname{SO}(2n, \mathbb R)$ and $\mathbb Z_2$?

What is the geometric interpretation of the transpose?

Orthogonal matrix over cross product

Why does $A^TA=I, \det A=1$ mean $A$ is a rotation matrix?

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