Question

How to show that $AA^+B^B$ is invertible if $U\stackrel{A}\to V\stackrel{B}\to W$ is exact?

score 96 · Answer 1 · 2026-04-13 20:47:07

96

Views

How to show that $AA^+B^B$ is invertible if $U\stackrel{A}\to V\stackrel{B}\to W$ is exact?

Published on 13 Apr 2026 - 20:47

score 185 · Answer 2 · 2026-04-15 03:34:06

185

Views

Union of proper subspaces of the same dimension of vector space is not a subspace

Published on 15 Apr 2026 - 3:34

score 51 · Answer 3 · 2026-04-16 17:30:30

51

Views

For two inner products, can we find or proof a relation between them by a mathematical property?

Published on 16 Apr 2026 - 17:30

score 912 · Answer 4 · 2026-04-15 05:47:46

912

Views

Dot product of Perpendicular vectors

Published on 15 Apr 2026 - 5:47

score 83 · Answer 5 · 2026-04-15 12:29:20

83

Views

Continuous bijection with continuous inverse

Published on 15 Apr 2026 - 12:29

score 99 · Answer 6 · 2026-04-09 04:59:47

99

Views

Vector inner product in terms of norms using fundamental theorem of optimization

Published on 09 Apr 2026 - 4:59

score 84 · Answer 7 · 2026-04-14 05:32:35

84

Views

What are the fields in which $-1$ is not a square and over which every finite-dimensional vector space has a nice inner product?

Published on 14 Apr 2026 - 5:32

score 42 · Answer 8 · 2026-04-14 05:22:55

42

Views

Intuitively, why is $\langle V \lvert W\rangle$ "square" of norm $ \lvert V\rvert$ and not $\lambda \cdot \lvert V\rvert$?

Published on 14 Apr 2026 - 5:22

score 28 · Answer 9 · 2026-04-11 23:32:04

28

Views

Lower bounds of inner products in a real Hilbert spaces

Published on 11 Apr 2026 - 23:32

score 805 · Answer 10 · 2026-04-14 12:53:55

805

Views

Doubt in the proof that $\operatorname{Image}(T^{*})=\operatorname{Ker}(T)^{\perp}$

Published on 14 Apr 2026 - 12:53

score 483 · Answer 11 · 2026-04-10 05:55:11

483

Views

is dot product a binary operation?

Published on 10 Apr 2026 - 5:55

score 99 · Answer 12 · 2026-04-11 15:47:05

99

Views

Linear transformation , proof existence of angle between two vectors

Published on 11 Apr 2026 - 15:47

score 227 · Answer 13 · 2026-04-16 11:35:37

227

Views

Show that there is is no nonnegative function in the inner product space $C[0,1]$ that satisfies three inner product relations

Published on 16 Apr 2026 - 11:35

score 110 · Answer 14 · 2026-03-26 14:19:39

110

Views

Second derivative is "symmetric" on the subspace

Published on 26 Mar 2026 - 14:19

score 148 · Answer 15 · 2026-03-26 17:35:32

148

Views

Counterexample to a formula for the norm of a self-adjoint operator on a Hilbert space

Published on 26 Mar 2026 - 17:35

List Question

How to show that $AA^+B^B$ is invertible if $U\stackrel{A}\to V\stackrel{B}\to W$ is exact?

Union of proper subspaces of the same dimension of vector space is not a subspace

For two inner products, can we find or proof a relation between them by a mathematical property?

Dot product of Perpendicular vectors

Continuous bijection with continuous inverse

Vector inner product in terms of norms using fundamental theorem of optimization

What are the fields in which $-1$ is not a square and over which every finite-dimensional vector space has a nice inner product?

Intuitively, why is $\langle V \lvert W\rangle$ "square" of norm $ \lvert V\rvert$ and not $\lambda \cdot \lvert V\rvert$?

Lower bounds of inner products in a real Hilbert spaces

Doubt in the proof that $\operatorname{Image}(T^{*})=\operatorname{Ker}(T)^{\perp}$

is dot product a binary operation?

Linear transformation , proof existence of angle between two vectors

Show that there is is no nonnegative function in the inner product space $C[0,1]$ that satisfies three inner product relations

Second derivative is "symmetric" on the subspace

Counterexample to a formula for the norm of a self-adjoint operator on a Hilbert space

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