List questions from orthogonal-matrices

Published on 10 Apr 2026 - 8:16

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

Published on 10 May 2026 - 15:29

2.7k

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

Published on 14 Apr 2026 - 7:00

33

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Problem on the set of all orthogonal matrices

Published on 11 Apr 2026 - 17:31

116

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Find symmetric matrix containing no 0's, given eigenvalues

Published on 16 Apr 2026 - 21:13

179

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Spectrum of rotation matrices

Published on 13 Apr 2026 - 15:39

228

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Partitioning a rectangular matrix

Published on 10 Apr 2026 - 20:53

201

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A particular subset of row-orthogonal matrices

Published on 15 Apr 2026 - 13:13

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 12 Apr 2026 - 19:24

833

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Orthogonal complement of a vector

Published on 12 Apr 2026 - 1:31

646

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Box-constrained orthogonal matrix

Published on 03 May 2026 - 8:53

458

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

Published on 11 Apr 2026 - 12:38

41

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Transforming a projection matrix

Published on 10 May 2026 - 9:49

83

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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 16 Apr 2026 - 7:29

2.2k

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

Published on 13 Apr 2026 - 2:56

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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