Question

$A - aI$ positive definite for some $a > 0$

score 97 · Answer 1 · 2026-04-11 01:10:25

97

Views

$A - aI$ positive definite for some $a > 0$

Published on 11 Apr 2026 - 1:10

score 27 · Answer 2 · 2026-04-12 23:25:51

27

Views

Doubt in computation in inner product space.

Published on 12 Apr 2026 - 23:25

score 18 · Answer 3 · 2026-04-12 03:05:00

18

Views

is this step valid for the product of two different scalar products

Published on 12 Apr 2026 - 3:05

score 298 · Answer 4 · 2026-04-12 19:43:04

298

Views

Reverse Triangle Inequality inner product

Published on 12 Apr 2026 - 19:43

score 184 · Answer 5 · 2026-04-11 22:44:16

184

Views

For $T\colon V\to V$ every anti self-adjoint $T$ is orthogonally diagonalizable.

Published on 11 Apr 2026 - 22:44

score 1k · Answer 6 · 2026-04-15 07:24:39

1k

Views

Show that if $\|u\| \leq \|u+av\|$ for all $a \in F$, then $\langle u,v\rangle=0$, without using derivatives

Published on 15 Apr 2026 - 7:24

score 615 · Answer 7 · 2026-04-12 08:33:31

615

Views

If $E$ is a projection with finite-dimensional range $W$ and $||E(a)|| \leq ||a||$ then $E$ is orthogonal

Published on 12 Apr 2026 - 8:33

score 160 · Answer 8 · 2026-04-14 06:41:35

160

Views

Finding basis and explain why the basis have found is a basis

Published on 14 Apr 2026 - 6:41

score 22 · Answer 9 · 2026-04-09 18:39:46

22

Views

writing a vector in a specific form based on restrictions

Published on 09 Apr 2026 - 18:39

score 43 · Answer 10 · 2026-04-22 20:50:07

43

Views

Distributivity of dot product in a scalar multipier

Published on 22 Apr 2026 - 20:50

score 94 · Answer 11 · 2026-04-12 17:17:35

94

Views

Simplification of an expression in scalar triple product terms

Published on 12 Apr 2026 - 17:17

score 56 · Answer 12 · 2026-04-15 11:37:42

56

Views

Prove that $E$ is self adjoint iff $EE^=E^E$ where $E$ is a projection .

Published on 15 Apr 2026 - 11:37

score 42 · Answer 13 · 2026-04-16 23:09:41

42

Views

n-th derivative of exponentiated dot-product

Published on 16 Apr 2026 - 23:09

score 74 · Answer 14 · 2026-04-15 09:03:46

74

Views

What is the range of $\frac{\left( \sum_i x_i y_i \right)^2}{\sum_i x_i^2 \sum_i y_i^2}$ for $x, y \in \mathbb{R}^n$?

Published on 15 Apr 2026 - 9:03

score 300 · Answer 15 · 2026-04-15 20:41:58

300

Views

Let $T\in B(H)$ be such that $\langle Tx,x \rangle = 0$ for all $x\in H$. Prove that $T=0$.

Published on 15 Apr 2026 - 20:41

List Question

$A - aI$ positive definite for some $a > 0$

Doubt in computation in inner product space.

is this step valid for the product of two different scalar products

Reverse Triangle Inequality inner product

For $T\colon V\to V$ every anti self-adjoint $T$ is orthogonally diagonalizable.

Show that if $\|u\| \leq \|u+av\|$ for all $a \in F$, then $\langle u,v\rangle=0$, without using derivatives

If $E$ is a projection with finite-dimensional range $W$ and $||E(a)|| \leq ||a||$ then $E$ is orthogonal

Finding basis and explain why the basis have found is a basis

writing a vector in a specific form based on restrictions

Distributivity of dot product in a scalar multipier

Simplification of an expression in scalar triple product terms

Prove that $E$ is self adjoint iff $EE^=E^E$ where $E$ is a projection .

n-th derivative of exponentiated dot-product

What is the range of $\frac{\left( \sum_i x_i y_i \right)^2}{\sum_i x_i^2 \sum_i y_i^2}$ for $x, y \in \mathbb{R}^n$?

Let $T\in B(H)$ be such that $\langle Tx,x \rangle = 0$ for all $x\in H$. Prove that $T=0$.

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