List questions from orthogonal-matrices

Published on 01 Jul 2018 - 18:42

439

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Quaternion Converted to Rotation Matrix then Derived with Respect to this Quaternion

Published on 25 Mar 2026 - 1:17

2.7k

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How can I find the general form of an orthogonal matrix?

Published on 04 Jul 2018 - 10:12

30

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Problem on the set of all orthogonal matrices

Published on 04 Jul 2018 - 14:16

113

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Find symmetric matrix containing no 0's, given eigenvalues

Published on 05 Jul 2018 - 13:28

175

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Spectrum of rotation matrices

Published on 05 Jul 2018 - 18:01

224

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Partitioning a rectangular matrix

Published on 06 Jul 2018 - 15:46

198

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A particular subset of row-orthogonal matrices

Published on 06 Jul 2018 - 16:07

2.1k

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Prove that $-1$ is an eigenvalue of an orthogonal matrix $A \in M_{4 \times 4} (\Bbb R)$ with $\det(A)=-1$

Published on 07 Jul 2018 - 21:33

829

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Orthogonal complement of a vector

Published on 10 Jul 2018 - 8:09

637

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Box-constrained orthogonal matrix

Published on 17 Mar 2026 - 3:45

455

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Prove: if A is a transformation matrix of orthonormal bases then A is unitary

Published on 12 Jul 2018 - 8:02

36

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Transforming a projection matrix

Published on 15 Jul 2018 - 6:21

80

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If $\sigma:M_3\rightarrow S_3$ is a linear map such that $\sigma(PMP^{-1})=P\sigma(M)P^{-1}$, then $\sigma(M)=\ldots$

Published on 19 Jul 2018 - 9:51

2.2k

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Determining the last column so that the resulting matrix is an orthogonal matrix

Published on 25 Jul 2018 - 2:35

List Question

Does the following unitary matrix factorization have a name?

Quaternion Converted to Rotation Matrix then Derived with Respect to this Quaternion

How can I find the general form of an orthogonal matrix?

Problem on the set of all orthogonal matrices

Find symmetric matrix containing no 0's, given eigenvalues

Spectrum of rotation matrices

Partitioning a rectangular matrix

A particular subset of row-orthogonal matrices

Prove that $-1$ is an eigenvalue of an orthogonal matrix $A \in M_{4 \times 4} (\Bbb R)$ with $\det(A)=-1$

Orthogonal complement of a vector

Box-constrained orthogonal matrix

Prove: if A is a transformation matrix of orthonormal bases then A is unitary

Transforming a projection matrix

If $\sigma:M_3\rightarrow S_3$ is a linear map such that $\sigma(PMP^{-1})=P\sigma(M)P^{-1}$, then $\sigma(M)=\ldots$

Determining the last column so that the resulting matrix is an orthogonal matrix

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