Question

For a symmetric matrix, are the eigenvectors of an eigenvalue with multiplicity $>1$ orthogonal?

score 902 · Answer 1 · 2017-03-12 00:29:05

902

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For a symmetric matrix, are the eigenvectors of an eigenvalue with multiplicity $>1$ orthogonal?

Published on 12 Mar 2017 - 0:29

score 1.5k · Answer 2 · 2017-03-19 20:20:25

1.5k

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If I have a diagonalized matrix with degenerate eigenvalues, how do I generate an orthonormal set of vectors?

Published on 19 Mar 2017 - 20:20

score 38 · Answer 3 · 2023-01-30 07:21:11

38

Views

Constructing rotation matrix with respect to central point

Published on 30 Jan 2023 - 7:21

score 43 · Answer 4 · 2023-02-13 12:41:37

43

Views

Finding mutually orthogonal vectors in a given set

Published on 13 Feb 2023 - 12:41

score 54 · Answer 5 · 2023-02-16 18:27:25

54

Views

Got stuck on Finding an orthonormal basis for the orthogonal complement

Published on 16 Feb 2023 - 18:27

score 67 · Answer 6 · 2023-02-27 04:47:09

67

Views

Answer Check: Best Approximation of $(x+1)e^{-x}$ using Legendre Polynomials

Published on 27 Feb 2023 - 4:47

score 48 · Answer 7 · 2023-04-09 19:02:03

48

Views

$x \cdot F_n$ is a linear combination of $\{ F_{n−1}, F_n, F_{n+1} \}$ for every positive integer $n$.

Published on 09 Apr 2023 - 19:02

score 52 · Answer 8 · 2026-03-25 09:45:53

52

Views

Cholesky factorization using Gram-Schmidt

Published on 25 Mar 2026 - 9:45

score 22 · Answer 9 · 2023-06-21 14:49:00

22

Views

Schwartz functions and multi-indices, find a family of Schwartz functions with an integral condition

Published on 21 Jun 2023 - 14:49

score 48 · Answer 10 · 2023-06-22 17:21:11

48

Views

Question about Theorem 1.13 in Tom Apostol's Calculus Vol 2.

Published on 22 Jun 2023 - 17:21

score 97 · Answer 11 · 2023-10-25 22:35:31

97

Views

Gram-schmidt process for polynomials

Published on 25 Oct 2023 - 22:35

score 68 · Answer 12 · 2023-12-04 07:07:41

68

Views

Distance between point and hyperplane given basis

Published on 04 Dec 2023 - 7:07

score 42 · Answer 13 · 2023-12-24 12:12:28

42

Views

What do the parts of the Gram-Schmidt process mean and represent in space?

Published on 24 Dec 2023 - 12:12

score 197 · Answer 14 · 2024-01-05 22:05:46

197

Views

How to express a Gaussian as a series of exponential? $\displaystyle e^{-x^2}=\sum_{n=1}^{\infty}c_n e^{-nx}$

Published on 05 Jan 2024 - 22:05

score 57 · Answer 15 · 2024-01-10 10:21:09

57

Views

Write vector as the sum of w and w orthogonal

Published on 10 Jan 2024 - 10:21

List Question

For a symmetric matrix, are the eigenvectors of an eigenvalue with multiplicity $>1$ orthogonal?

If I have a diagonalized matrix with degenerate eigenvalues, how do I generate an orthonormal set of vectors?

Constructing rotation matrix with respect to central point

Finding mutually orthogonal vectors in a given set

Got stuck on Finding an orthonormal basis for the orthogonal complement

Answer Check: Best Approximation of $(x+1)e^{-x}$ using Legendre Polynomials

$x \cdot F_n$ is a linear combination of $\{ F_{n−1}, F_n, F_{n+1} \}$ for every positive integer $n$.

Cholesky factorization using Gram-Schmidt

Schwartz functions and multi-indices, find a family of Schwartz functions with an integral condition

Question about Theorem 1.13 in Tom Apostol's Calculus Vol 2.

Gram-schmidt process for polynomials

Distance between point and hyperplane given basis

What do the parts of the Gram-Schmidt process mean and represent in space?

How to express a Gaussian as a series of exponential? $\displaystyle e^{-x^2}=\sum_{n=1}^{\infty}c_n e^{-nx}$

Write vector as the sum of w and w orthogonal

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