List questions from orthogonal-matrices

Published on 05 Jun 2020 - 15:14

228

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General form of an orthogonal matrix involving angles, sines, and cosines

Published on 25 Mar 2026 - 14:25

305

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Neighborhood in orthogonal group

Published on 15 Jun 2020 - 1:21

59

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Proving determinant for orthogonal matrices

Published on 19 Jun 2020 - 8:37

105

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Orthogonal Vector Space with Identity Matrix and Orthogonal Projection

Published on 19 Jun 2020 - 16:49

54

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Orthogonal complements really confuse me, I think its the notation?

Published on 21 Jun 2020 - 7:37

283

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Proof that greatest entry of a unit vector is $\leq 1$ and $\geq \frac{1}{\sqrt{n}}$

Published on 22 Jun 2020 - 15:01

208

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Orthogonal matrices $A$ for which $A^n = I$

Published on 25 Mar 2026 - 9:48

183

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Product of two symmetric matrices: If one orthogonal matrix is known, find the other one

Published on 25 Jun 2020 - 6:56

121

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skew-diagonalizing an anti-symmetrc matrix

Published on 25 Mar 2026 - 23:56

275

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Can an orthogonal matrix move monotonically toward a signed permutation matrix?

Published on 28 Jun 2020 - 17:35

423

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If $A$ is an orthogonal matrix with $|A|=-1$, show that $|I-A|=0$

Published on 29 Jun 2020 - 15:20

96

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Eigenvectors of $A \in SO(2n)$ and $A \in SO(2n+1)$

Published on 29 Jun 2020 - 19:16

136

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Under what conditions can I orthogonally diagonalize a matrix

Published on 03 Jul 2020 - 7:28

55

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How to solve this orthogonal matrix equation?

Published on 25 Mar 2026 - 15:58

List Question

$\forall n \geq 3, \text{Span}(SO_n(\mathbb{R})) = M_n(\mathbb{R})$

General form of an orthogonal matrix involving angles, sines, and cosines

Neighborhood in orthogonal group

Proving determinant for orthogonal matrices

Orthogonal Vector Space with Identity Matrix and Orthogonal Projection

Orthogonal complements really confuse me, I think its the notation?

Proof that greatest entry of a unit vector is $\leq 1$ and $\geq \frac{1}{\sqrt{n}}$

Orthogonal matrices $A$ for which $A^n = I$

Product of two symmetric matrices: If one orthogonal matrix is known, find the other one

skew-diagonalizing an anti-symmetrc matrix

Can an orthogonal matrix move monotonically toward a signed permutation matrix?

If $A$ is an orthogonal matrix with $|A|=-1$, show that $|I-A|=0$

Eigenvectors of $A \in SO(2n)$ and $A \in SO(2n+1)$

Under what conditions can I orthogonally diagonalize a matrix

How to solve this orthogonal matrix equation?

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