Question

A natural (?) proof of linear indepedence of eigenvectors of distinct eigenvalues.

score 101 · Answer 1 · 2023-05-27 16:59:39

101

Views

A natural (?) proof of linear indepedence of eigenvectors of distinct eigenvalues.

Published on 27 May 2023 - 16:59

score 716 · Answer 2 · 2023-06-08 16:49:05

716

Views

Eigenvectors of different eigenvalues are linearly independent (without matrices)

Published on 08 Jun 2023 - 16:49

score 73 · Answer 3 · 2023-06-13 03:38:28

73

Views

Proof Verification: Length of linearly independent list $\le$ length of spanning list

Published on 13 Jun 2023 - 3:38

score 106 · Answer 4 · 2023-06-20 17:49:15

106

Views

How to prove that the functions cot(x), cot(2x), ..., cot(nx) are linearly independent?

Published on 20 Jun 2023 - 17:49

score 21 · Answer 5 · 2023-06-21 13:26:42

21

Views

basis of approximation space

Published on 21 Jun 2023 - 13:26

score 59 · Answer 6 · 2023-06-25 22:42:46

59

Views

if A is a matrix of size nxn, and if it has n linearly independent eigenvectors associated to a single eigenvalue, A is a diagonal matrix

Published on 25 Jun 2023 - 22:42

score 21 · Answer 7 · 2023-06-29 08:55:21

21

Views

Rudin $9.3(a)$'s led me to a question about the existence logic quantifier and it's variables

Published on 29 Jun 2023 - 8:55

score 84 · Answer 8 · 2023-07-03 01:27:48

84

Views

Values of m so that the vectors are Linear dependent

Published on 03 Jul 2023 - 1:27

score 129 · Answer 9 · 2023-07-06 12:38:30

129

Views

Prove that columns of incidence matrix of tree are linearly independent

Published on 06 Jul 2023 - 12:38

score 42 · Answer 10 · 2023-07-07 11:57:48

42

Views

Basis of vector space and linear independence

Published on 07 Jul 2023 - 11:57

score 207 · Answer 11 · 2023-07-19 14:04:31

207

Views

Generalisation of Stone-Weierstrass Theorem / Fourier series for linearly independent functions.

Published on 19 Jul 2023 - 14:04

score 40 · Answer 12 · 2023-07-19 19:01:36

40

Views

Conditions for linear independence given the family of vectors is pairwise independent

Published on 19 Jul 2023 - 19:01

score 64 · Answer 13 · 2023-07-25 18:54:25

64

Views

An analogous equivalence to one of linear independence

Published on 25 Jul 2023 - 18:54

score 50 · Answer 14 · 2023-07-31 09:02:21

Prove that set of columns of an incidence matrix M with integral values mod 2 are linearly independent iff the corresponding set of edges are acyclic

score 137 · Answer 15 · 2023-08-04 01:47:13

137

Views

Show that $F(t) = (\cos t, \sin t)$ is locally one-to-one but not globally one-to-one.

Published on 04 Aug 2023 - 1:47

List Question

A natural (?) proof of linear indepedence of eigenvectors of distinct eigenvalues.

Eigenvectors of different eigenvalues are linearly independent (without matrices)

Proof Verification: Length of linearly independent list $\le$ length of spanning list

How to prove that the functions cot(x), cot(2x), ..., cot(nx) are linearly independent?

basis of approximation space

if A is a matrix of size nxn, and if it has n linearly independent eigenvectors associated to a single eigenvalue, A is a diagonal matrix

Rudin $9.3(a)$'s led me to a question about the existence logic quantifier and it's variables

Values of m so that the vectors are Linear dependent

Prove that columns of incidence matrix of tree are linearly independent

Basis of vector space and linear independence

Generalisation of Stone-Weierstrass Theorem / Fourier series for linearly independent functions.

Conditions for linear independence given the family of vectors is pairwise independent

An analogous equivalence to one of linear independence

Prove that set of columns of an incidence matrix M with integral values mod 2 are linearly independent iff the corresponding set of edges are acyclic

Show that $F(t) = (\cos t, \sin t)$ is locally one-to-one but not globally one-to-one.

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