Question

characteristic vectors for $Τ$ which are associated with distinct characteristic values are orthogonal

score 596 · Answer 1 · 2026-03-25 19:04:11

596

Views

characteristic vectors for $Τ$ which are associated with distinct characteristic values are orthogonal

Published on 25 Mar 2026 - 19:04

score 539 · Answer 2 · 2026-04-01 08:56:39

539

Views

Can we generalize Pythagorean theorem to more than $2$ vectors?

Published on 01 Apr 2026 - 8:56

score 476 · Answer 3 · 2026-03-30 21:09:50

476

Views

A counterexample to the orthogonal projection theorem.

Published on 30 Mar 2026 - 21:09

score 426 · Answer 4 · 2026-04-08 04:17:19

426

Views

Matrix given by $a_{ij} = 1/(i+j)$ is non-singular.

Published on 08 Apr 2026 - 4:17

score 5.4k · Answer 5 · 2026-03-28 14:44:10

5.4k

Views

Prove that the product of two positive linear operators is positive if and only if they commute.

Published on 28 Mar 2026 - 14:44

score 37 · Answer 6 · 2016-11-06 06:49:42

37

Views

If $Τ < U$ and $0 < S$, it need not be that $ST < SU$.

Published on 06 Nov 2016 - 6:49

score 30 · Answer 7 · 2016-11-06 09:22:32

30

Views

inner product identity and property

Published on 06 Nov 2016 - 9:22

score 282 · Answer 8 · 2016-11-06 11:58:27

282

Views

If a subset A of a Hilbert space H contains an Open ball, then the orthogonal complement of A is the set of zero element.

Published on 06 Nov 2016 - 11:58

score 136 · Answer 9 · 2016-11-07 03:14:33

136

Views

inner product of inner product

Published on 07 Nov 2016 - 3:14

score 129 · Answer 10 · 2016-11-07 11:44:32

129

Views

Inner Product in Cauchy's Inequality

Published on 07 Nov 2016 - 11:44

score 158 · Answer 11 · 2026-04-06 00:48:58

158

Views

Scalar product and geometric interpretation of formula

Published on 06 Apr 2026 - 0:48

score 118 · Answer 12 · 2026-03-31 18:57:33

118

Views

Closed-form solution of non-autonomous vector recurrence relation

Published on 31 Mar 2026 - 18:57

score 1.2k · Answer 13 · 2016-11-08 21:02:52

1.2k

Views

Find an Inner Product of two polynomials

Published on 08 Nov 2016 - 21:02

score 120 · Answer 14 · 2016-11-08 22:09:32

Prove that $\forall x,y \in M \; \sum^{\infty}_{n=1} \lvert \langle x,u_n\rangle\langle y,u_n\rangle\rvert \leq \lVert x\rVert\lVert y\rVert$

score 93 · Answer 15 · 2026-04-08 04:03:12

93

Views

Clarification on annihilaton and creation operator identity

Published on 08 Apr 2026 - 4:03

List Question

characteristic vectors for $Τ$ which are associated with distinct characteristic values are orthogonal

Can we generalize Pythagorean theorem to more than $2$ vectors?

A counterexample to the orthogonal projection theorem.

Matrix given by $a_{ij} = 1/(i+j)$ is non-singular.

Prove that the product of two positive linear operators is positive if and only if they commute.

If $Τ < U$ and $0 < S$, it need not be that $ST < SU$.

inner product identity and property

If a subset A of a Hilbert space H contains an Open ball, then the orthogonal complement of A is the set of zero element.

inner product of inner product

Inner Product in Cauchy's Inequality

Scalar product and geometric interpretation of formula

Closed-form solution of non-autonomous vector recurrence relation

Find an Inner Product of two polynomials

Prove that $\forall x,y \in M \; \sum^{\infty}_{n=1} \lvert \langle x,u_n\rangle\langle y,u_n\rangle\rvert \leq \lVert x\rVert\lVert y\rVert$

Clarification on annihilaton and creation operator identity

Trending Questions

Popular # Hahtags

Popular Questions