Question

Positive lower bounds for $|x+y|^2 -|x|^2$

score 70 · Answer 1 · 2026-04-15 14:52:16

70

Views

Positive lower bounds for $|x+y|^2 -|x|^2$

Published on 15 Apr 2026 - 14:52

score 45 · Answer 2 · 2026-04-17 15:42:21

45

Views

Is it always possible to multiply vector components by a complex phase to make them orthogonal?

Published on 17 Apr 2026 - 15:42

score 66 · Answer 3 · 2026-05-05 11:31:50

66

Views

direct complement

Published on 05 May 2026 - 11:31

score 41 · Answer 4 · 2026-04-29 23:47:42

41

Views

Let $\phi$ be given by left multiplication with matrix $A$ below. Find kernel $\phi$ and image $\phi$ explicitly by giving a basis for these spaces

Published on 29 Apr 2026 - 23:47

score 65 · Answer 5 · 2026-04-17 12:26:33

65

Views

Find matrix of change of basis from $(e_1, ... e_n)$ to $(e_n, e_{n-1} ... e_1)$, and $(e_1, e_2)$ to $(e_1 + e_2, e_1 - e_2)$

Published on 17 Apr 2026 - 12:26

score 52 · Answer 6 · 2026-04-14 20:30:00

52

Views

Given the set $\mathfrak{B} = ((1,2,0)^{\top}, (2,1,2)^{\top}, (3,1,1)^{\top})$ that is a basis in $\mathbb{R}^3$

Published on 14 Apr 2026 - 20:30

score 131 · Answer 7 · 2026-04-13 02:13:37

131

Views

If $u_1$ and $u_2$ are orthogonal unit vectors, and $v= au_1 + bu_2 $, find $ v \cdot u_1 $

Published on 13 Apr 2026 - 2:13

score 266 · Answer 8 · 2026-04-14 08:39:09

266

Views

Solving general multivariable quadratic equations

Published on 14 Apr 2026 - 8:39

score 62 · Answer 9 · 2026-04-14 20:15:33

62

Views

Finding $B$ matrix from given multiples $Bv=w$

Published on 14 Apr 2026 - 20:15

score 76 · Answer 10 · 2026-04-17 11:46:12

76

Views

Need help finding coordinates/vector of third point in triangle knowing $3$ side lengths and $2$ points

Published on 17 Apr 2026 - 11:46

score 124 · Answer 11 · 2026-04-14 15:17:51

124

Views

Extending a vector so its projection match another vector's length, there's a name for that?

Published on 14 Apr 2026 - 15:17

score 99 · Answer 12 · 2026-04-14 08:21:04

99

Views

Where is the error in this proof that isosceles triangles do not exist? Hidden division by zero

Published on 14 Apr 2026 - 8:21

score 55 · Answer 13 · 2026-04-11 20:44:16

55

Views

Should I prove the opposite direction?

Published on 11 Apr 2026 - 20:44

score 112 · Answer 14 · 2026-04-11 13:53:51

112

Views

Variable of integration ("$d\alpha$") in a multivariate change of variables (multivariate integral)

Published on 11 Apr 2026 - 13:53

score 63 · Answer 15 · 2026-05-05 21:37:32

63

Views

Geometry - Vectors. Two perpendicular lines in a circle.

Published on 05 May 2026 - 21:37

List Question

Positive lower bounds for $|x+y|^2 -|x|^2$

Is it always possible to multiply vector components by a complex phase to make them orthogonal?

direct complement

Let $\phi$ be given by left multiplication with matrix $A$ below. Find kernel $\phi$ and image $\phi$ explicitly by giving a basis for these spaces

Find matrix of change of basis from $(e_1, ... e_n)$ to $(e_n, e_{n-1} ... e_1)$, and $(e_1, e_2)$ to $(e_1 + e_2, e_1 - e_2)$

Given the set $\mathfrak{B} = ((1,2,0)^{\top}, (2,1,2)^{\top}, (3,1,1)^{\top})$ that is a basis in $\mathbb{R}^3$

If $u_1$ and $u_2$ are orthogonal unit vectors, and $v= au_1 + bu_2 $, find $ v \cdot u_1 $

Solving general multivariable quadratic equations

Finding $B$ matrix from given multiples $Bv=w$

Need help finding coordinates/vector of third point in triangle knowing $3$ side lengths and $2$ points

Extending a vector so its projection match another vector's length, there's a name for that?

Where is the error in this proof that isosceles triangles do not exist? Hidden division by zero

Should I prove the opposite direction?

Variable of integration ("$d\alpha$") in a multivariate change of variables (multivariate integral)

Geometry - Vectors. Two perpendicular lines in a circle.

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