List questions from orthonormal

Published on 27 Nov 2021 - 13:47

122

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Components of vector as an inner product

Published on 30 Nov 2021 - 15:37

109

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Hodge star and non-orthonormal basis

Published on 31 Mar 2026 - 6:00

169

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Every incomplete inner product space has a maximal but incomplete orthonormal system

Published on 30 Mar 2026 - 8:37

29

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Proof that bases can be extended while maintaining orthonormality

Published on 03 Dec 2021 - 21:27

32

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Orthonormal Vectors with Respect to an Inner Product

Published on 06 Dec 2021 - 10:07

266

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Finding vectors orthonormal to a given vector set and the Gram-Schmidt process

Published on 10 Dec 2021 - 13:20

77

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Operator norm in Hilbert space, Schur criterion for infnite matrices

Published on 15 Dec 2021 - 14:02

97

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Relationship between angle of vectors and orthogonalization

Published on 21 Dec 2021 - 3:15

47

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Proving that matrices in $O(2)$ are of one of two forms

Published on 27 Mar 2026 - 4:38

33

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Frobenius norm equality related to "orthonormal pair"

Published on 28 Mar 2026 - 7:51

123

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Find function that minimizes the distance from $f$ to $g$ with respect to the $L_2$-norm

Published on 29 Dec 2021 - 0:38

181

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What is the relationship between the eigenvalues of $Q^T \Lambda Q$ and $\Lambda$?

Published on 29 Dec 2021 - 2:22

58

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Do orthonormal changes of basis affect the inner product?

Published on 30 Dec 2021 - 11:47

282

Views

Show $Q(x)\cdot Q(y)=x\cdot y\Rightarrow Q^TQ=I$

Published on 30 Dec 2021 - 21:57

List Question

Are Fourier series a basis for $L^2((-\pi,\pi)^m)$?

Components of vector as an inner product

Hodge star and non-orthonormal basis

Every incomplete inner product space has a maximal but incomplete orthonormal system

Proof that bases can be extended while maintaining orthonormality

Orthonormal Vectors with Respect to an Inner Product

Finding vectors orthonormal to a given vector set and the Gram-Schmidt process

Operator norm in Hilbert space, Schur criterion for infnite matrices

Relationship between angle of vectors and orthogonalization

Proving that matrices in $O(2)$ are of one of two forms

Frobenius norm equality related to "orthonormal pair"

Find function that minimizes the distance from $f$ to $g$ with respect to the $L_2$-norm

What is the relationship between the eigenvalues of $Q^T \Lambda Q$ and $\Lambda$?

Do orthonormal changes of basis affect the inner product?

Show $Q(x)\cdot Q(y)=x\cdot y\Rightarrow Q^TQ=I$

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