Question

There is no continuous function $f$ so that $\int_a^b f(x)x^n dx$, $0\leq a<b$ is positive for all even $n$ and negative for odd $n$

score 137 · Answer 1 · 2026-04-16 14:32:01

137

Views

There is no continuous function $f$ so that $\int_a^b f(x)x^n dx$, $0\leq a<b$ is positive for all even $n$ and negative for odd $n$

Published on 16 Apr 2026 - 14:32

score 117 · Answer 2 · 2026-04-12 11:16:11

117

Views

Confusion regarding real inner-products and the spectral theorem for symmetric matrices

Published on 12 Apr 2026 - 11:16

score 42 · Answer 3 · 2026-04-13 09:11:15

42

Views

Why isolating a vector becomes transposed?

Published on 13 Apr 2026 - 9:11

score 57 · Answer 4 · 2026-04-15 14:30:04

57

Views

Does there exist any $x \in V$ such that $\left (x + V^{\perp} \right ) \cap W = \varnothing\ $?

Published on 15 Apr 2026 - 14:30

score 116 · Answer 5 · 2026-04-14 11:09:05

116

Views

Proving orthonormal basis for linear operators

Published on 14 Apr 2026 - 11:09

score 390 · Answer 6 · 2026-04-09 18:02:48

390

Views

Differentiation of inner product with matrices

Published on 09 Apr 2026 - 18:02

score 50 · Answer 7 · 2026-04-14 02:19:01

50

Views

The linkage of symmetric matrix and its eigenvalues

Published on 14 Apr 2026 - 2:19

score 315 · Answer 8 · 2026-04-14 11:01:39

315

Views

proving that a piecewise continuous function can be written as a Fourier series

Published on 14 Apr 2026 - 11:01

score 60 · Answer 9 · 2026-04-10 19:22:47

60

Views

Linear operator relative to basis

Published on 10 Apr 2026 - 19:22

score 84 · Answer 10 · 2026-04-09 19:00:27

84

Views

How do you prove the equivalence for algebraic and geometric definition for both dot and cross product?

Published on 09 Apr 2026 - 19:00

score 19 · Answer 11 · 2026-04-12 21:37:53

19

Views

Some help with the obtention of curve derivatives

Published on 12 Apr 2026 - 21:37

score 286 · Answer 12 · 2026-04-13 12:13:32

286

Views

Is the orthogonal complement of a subspace in a Hilbert space always complete?

Published on 13 Apr 2026 - 12:13

score 227 · Answer 13 · 2026-04-14 09:44:42

227

Views

Relation between the eigenvalues of $T^*T$ and the norms of $Tv$ and $v$

Published on 14 Apr 2026 - 9:44

score 483 · Answer 14 · 2026-04-15 13:16:17

483

Views

Show $S^2 = T$ is positive definite

Published on 15 Apr 2026 - 13:16

score 59 · Answer 15 · 2026-04-14 10:19:59

59

Views

How did they arrive at the following expression for vector projection?

Published on 14 Apr 2026 - 10:19

List Question

There is no continuous function $f$ so that $\int_a^b f(x)x^n dx$, $0\leq a<b$ is positive for all even $n$ and negative for odd $n$

Confusion regarding real inner-products and the spectral theorem for symmetric matrices

Why isolating a vector becomes transposed?

Does there exist any $x \in V$ such that $\left (x + V^{\perp} \right ) \cap W = \varnothing\ $?

Proving orthonormal basis for linear operators

Differentiation of inner product with matrices

The linkage of symmetric matrix and its eigenvalues

proving that a piecewise continuous function can be written as a Fourier series

Linear operator relative to basis

How do you prove the equivalence for algebraic and geometric definition for both dot and cross product?

Some help with the obtention of curve derivatives

Is the orthogonal complement of a subspace in a Hilbert space always complete?

Relation between the eigenvalues of $T^*T$ and the norms of $Tv$ and $v$

Show $S^2 = T$ is positive definite

How did they arrive at the following expression for vector projection?

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