List questions from orthonormal

Published on 15 Apr 2026 - 17:32

2.9k

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Show that a symmetric and idempotent matrix $P$ is the projection matrix onto some subspace.

Published on 10 May 2026 - 22:01

305

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Sum of rank-one matrices equals identity

Published on 17 Apr 2026 - 0:48

50

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Prove that if $u$ is a least squares solution of $Bx = b$ then $u$ $=$ $R^{-1}$ ($Q^T$) $b$.

Published on 17 Apr 2026 - 8:05

1.5k

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How do I find a tangent plane without a specified point?

Published on 11 May 2026 - 0:14

294

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Showing that a normal matrix with real eigenvalues is Hermitian. A question about properties orthonormal matrices.

Published on 13 Apr 2026 - 11:03

1.6k

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Why are the Fourier Series an orthogonal basis?

Published on 15 Apr 2026 - 17:28

704

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Find out if a operator is self-adjoint or orthogonal

Published on 10 May 2026 - 16:32

59

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If we have an orthonormal basis of $\mathbb{R}^n$ how we can describe every vector in $\mathbb{R}nT$ using them?

Published on 15 Apr 2026 - 23:25

6.2k

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Orthogonal Projection on a Polynomial Space

Published on 10 May 2026 - 23:15

46

Views

Projection on a subspace

Published on 10 May 2026 - 20:28

43

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Does this specific SO(4) matrix have to be block-diagonal?

Published on 11 Apr 2026 - 19:08

148

Views

How to determine if three vectors form a basis for a subspace?

Published on 11 May 2026 - 1:19

413

Views

Creating an orthonormal basis with Gram schmidt procedure error.

Published on 11 May 2026 - 3:46

335

Views

Non total orthonormal set in a non Hilbert inner product space

Published on 16 Apr 2026 - 15:38

List Question

Rotate vector orthonormally into a target vector

Show that a symmetric and idempotent matrix $P$ is the projection matrix onto some subspace.

Sum of rank-one matrices equals identity

Prove that if $u$ is a least squares solution of $Bx = b$ then $u$ $=$ $R^{-1}$ ($Q^T$) $b$.

How do I find a tangent plane without a specified point?

Showing that a normal matrix with real eigenvalues is Hermitian. A question about properties orthonormal matrices.

Why are the Fourier Series an orthogonal basis?

Find out if a operator is self-adjoint or orthogonal

If we have an orthonormal basis of $\mathbb{R}^n$ how we can describe every vector in $\mathbb{R}nT$ using them?

Orthogonal Projection on a Polynomial Space

Projection on a subspace

Does this specific SO(4) matrix have to be block-diagonal?

How to determine if three vectors form a basis for a subspace?

Creating an orthonormal basis with Gram schmidt procedure error.

Non total orthonormal set in a non Hilbert inner product space

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