List questions from orthogonal-matrices

Published on 25 Mar 2026 - 22:05

50

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Linear maps from $\mathbb{R}^{2}$ to $\mathbb{R}^{3}$ and cross products.

Published on 28 Feb 2021 - 22:09

130

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How do I find $\operatorname{det} T_Q$?

Published on 26 Mar 2026 - 16:26

111

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Show that $L_A$ is a reflection and find the line of reflection

Published on 27 Mar 2026 - 16:47

208

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Show that if $M $ is orthogonal matrix, then $\det M =\pm 1$.

Published on 04 Mar 2021 - 19:11

167

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How to decompose a $3\times 3$ orthoginal matrix back into Reflection and Rotation components.

Published on 26 Mar 2026 - 16:26

60

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Orthogonally equivalent matrices

Published on 27 Mar 2026 - 21:05

43

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Finding the eigenvalues and an orthornormal basis of eigenvectors of an orthogonal mapping

Published on 07 Mar 2021 - 15:52

421

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How to orthogonally upper-triangularize a matrix?

Published on 25 Mar 2026 - 4:54

523

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Are orthogonal matrices unitary?

Published on 26 Mar 2026 - 20:38

96

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How to find this integral over an annulus

Published on 13 Mar 2021 - 9:58

704

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Commutation of symmetric and skew-symmetric part of orthogonal matrix

Published on 16 Mar 2021 - 9:34

99

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Intuitive proof for $(a, b) = (a', b')$.

Published on 16 Mar 2021 - 18:48

153

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Solving for $U$,$\Sigma$ and $V$ in SVD of a matrix

Published on 16 Mar 2021 - 20:18

389

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An orthogonal matrix the given power of which is the identity matrix

Published on 17 Mar 2021 - 17:50

List Question

If symmetric matrices $A$ and $B$ are similar, are they necessarily orthogonally similar

Linear maps from $\mathbb{R}^{2}$ to $\mathbb{R}^{3}$ and cross products.

How do I find $\operatorname{det} T_Q$?

Show that $L_A$ is a reflection and find the line of reflection

Show that if $M $ is orthogonal matrix, then $\det M =\pm 1$.

How to decompose a $3\times 3$ orthoginal matrix back into Reflection and Rotation components.

Orthogonally equivalent matrices

Finding the eigenvalues and an orthornormal basis of eigenvectors of an orthogonal mapping

How to orthogonally upper-triangularize a matrix?

Are orthogonal matrices unitary?

How to find this integral over an annulus

Commutation of symmetric and skew-symmetric part of orthogonal matrix

Intuitive proof for $(a, b) = (a', b')$.

Solving for $U$,$\Sigma$ and $V$ in SVD of a matrix

An orthogonal matrix the given power of which is the identity matrix

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