List questions from orthogonal-matrices

Published on 25 Mar 2026 - 22:10

62

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Matrix multiplication commutative property

Published on 27 Feb 2019 - 22:54

352

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Orthogonal matrix whose first column is given

Published on 01 Mar 2019 - 16:27

475

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Complex-analytic isometry of hyperbolic ball and half-space

Published on 25 Mar 2026 - 17:37

170

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Distance of matrix to $\mbox{SO}(n)$ w.r.t. Frobenius norm

Published on 22 Mar 2026 - 11:27

43

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What does the "standard basis" of $O(1,n)$ mean?

Published on 04 Mar 2019 - 1:19

1.3k

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Prove that special orthogonal matrix from $SO(n, \mathbb{R})$ has $\frac{(n-1)n}{2}$ independent parameters

Published on 05 Mar 2019 - 19:07

1.5k

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For an orthogonal matrix $Q$, prove $\operatorname{cond}(Q)=1$

Published on 24 Mar 2026 - 23:46

88

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Problems with determining the orthonormal basis regarding an inner product $B$

Published on 26 Mar 2026 - 1:09

172

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Are the invariants related in the characteristic equation of an orthogonal matrix (3x3 matrix)?

Published on 12 Mar 2019 - 16:11

96

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Homotopy groups of split orthogonal group

Published on 13 Mar 2019 - 14:39

118

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Are two isomorphic finite subgroups of $SO(4)$ conjugate?

Published on 21 Mar 2019 - 13:47

63

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The fundamental groups of 3-dimensional spherical space forms

Published on 25 Mar 2026 - 6:33

57

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Explain whether this matrix is symmetric or not?

Published on 22 Mar 2019 - 22:30

271

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Show that $||v||^2 = ||P_0v||^2 + ||v - P_0v||^2$ for orthogoonal projection

Published on 25 Mar 2026 - 6:05

List Question

Every real matrix $A$ is the linear combination of $4$ orthogonal matrices

Matrix multiplication commutative property

Orthogonal matrix whose first column is given

Complex-analytic isometry of hyperbolic ball and half-space

Distance of matrix to $\mbox{SO}(n)$ w.r.t. Frobenius norm

What does the "standard basis" of $O(1,n)$ mean?

Prove that special orthogonal matrix from $SO(n, \mathbb{R})$ has $\frac{(n-1)n}{2}$ independent parameters

For an orthogonal matrix $Q$, prove $\operatorname{cond}(Q)=1$

Problems with determining the orthonormal basis regarding an inner product $B$

Are the invariants related in the characteristic equation of an orthogonal matrix (3x3 matrix)?

Homotopy groups of split orthogonal group

Are two isomorphic finite subgroups of $SO(4)$ conjugate?

The fundamental groups of 3-dimensional spherical space forms

Explain whether this matrix is symmetric or not?

Show that $||v||^2 = ||P_0v||^2 + ||v - P_0v||^2$ for orthogoonal projection

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