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Constructing a 2x2 matrix R which represents reflection in the x-y plane,

score 1.9k · Answer 1 · 2026-04-14 20:22:09

1.9k

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Constructing a 2x2 matrix R which represents reflection in the x-y plane,

Published on 14 Apr 2026 - 20:22

score 767 · Answer 2 · 2026-05-10 13:25:03

767

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Reflecting a line from plane

Published on 10 May 2026 - 13:25

score 1.4k · Answer 3 · 2026-03-25 09:50:42

1.4k

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How can I prove mathematically the reflection matrix has only the eigenvalues 1 or -1?

Published on 25 Mar 2026 - 9:50

score 117 · Answer 4 · 2026-05-10 15:47:47

117

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Is random homomorphism from free product of $k$ copies of $\mathbb Z_2$ to orthogonal group $O(3)$ injective?

Published on 10 May 2026 - 15:47

score 2.6k · Answer 5 · 2026-03-25 11:20:17

What is the image of point $(3,4)$ after a translation $4$ units left, reflection across the $x$-axis, and translation $2$ units down?

score 2.3k · Answer 6 · 2026-03-25 09:49:32

2.3k

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Is there a general matrix to reflect about the line $y=mx+c$?

Published on 25 Mar 2026 - 9:49

score 47 · Answer 7 · 2026-03-25 09:46:54

47

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How to find reflection matrix in PCA?

Published on 25 Mar 2026 - 9:46

score 37 · Answer 8 · 2026-04-22 18:26:05

37

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How the coefficient and constant change from a conic section that reflect with a line $x=3$? Where its coefficient and constant are integer.

Published on 22 Apr 2026 - 18:26

score 994 · Answer 9 · 2026-04-13 18:14:28

994

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Prove that any orthogonal matrix is product of Householder reflections and diagonal matrices

Published on 13 Apr 2026 - 18:14

score 113 · Answer 10 · 2026-04-09 11:20:03

113

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Proving concurrency of point reflections in a triangle

Published on 09 Apr 2026 - 11:20

score 124 · Answer 11 · 2026-04-16 15:47:28

124

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2D symmetry group with 1 or more rotations (nontrivial) but exactly 1 reflection (nontrivial)

Published on 16 Apr 2026 - 15:47

score 323 · Answer 12 · 2026-04-12 18:55:06

323

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Calculating the Angle of Reflection from Co-ordinates

Published on 12 Apr 2026 - 18:55

score 51 · Answer 13 · 2026-05-10 17:34:20

51

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When is the group action transitive?

Published on 10 May 2026 - 17:34

score 882 · Answer 14 · 2026-04-17 08:49:25

882

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Let P and R be the following matrices: P projects vectors onto (1; 2; 4), and R reflects vectors across a line with direction (1; -1; 2)

Published on 17 Apr 2026 - 8:49

score 595 · Answer 15 · 2026-04-15 22:56:06

595

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Resolve the vector reflection equation to normal vector n

Published on 15 Apr 2026 - 22:56

List Question

Constructing a 2x2 matrix R which represents reflection in the x-y plane,

Reflecting a line from plane

How can I prove mathematically the reflection matrix has only the eigenvalues 1 or -1?

Is random homomorphism from free product of $k$ copies of $\mathbb Z_2$ to orthogonal group $O(3)$ injective?

What is the image of point $(3,4)$ after a translation $4$ units left, reflection across the $x$-axis, and translation $2$ units down?

Is there a general matrix to reflect about the line $y=mx+c$?

How to find reflection matrix in PCA?

How the coefficient and constant change from a conic section that reflect with a line $x=3$? Where its coefficient and constant are integer.

Prove that any orthogonal matrix is product of Householder reflections and diagonal matrices

Proving concurrency of point reflections in a triangle

2D symmetry group with 1 or more rotations (nontrivial) but exactly 1 reflection (nontrivial)

Calculating the Angle of Reflection from Co-ordinates

When is the group action transitive?

Let P and R be the following matrices: P projects vectors onto (1; 2; 4), and R reflects vectors across a line with direction (1; -1; 2)

Resolve the vector reflection equation to normal vector n

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