List questions from inner-products

Published on 13 Apr 2026 - 23:21

11.6k

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Intuition for the Cauchy-Schwarz inequality

Published on 15 Apr 2026 - 5:19

95

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Where did I go wrong with the Gram-Schmidt orthogonalisation process?

Published on 14 Apr 2026 - 6:54

5k

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Normalizing a basis

Published on 14 Apr 2026 - 21:21

41

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if $E,F$, two bases are orthonormal then $T$ is unitary.

Published on 15 Apr 2026 - 11:15

383

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Prove there's a unitary linear operator

Published on 10 Apr 2026 - 19:55

3k

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Finding orthonormal basis for a subspace $W$ of the Euclidean space $\mathbb{R}^3$.

Published on 13 Apr 2026 - 6:34

3.4k

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Proving space of skew-symmetric matrices is orthogonal complement of symmetric matrices

Published on 14 Apr 2026 - 5:30

1.6k

Views

The spectrum of a polynomial of an operator, question about proof, why are the operators invertible?

Published on 11 Apr 2026 - 6:46

272

Views

Why is $T$ normal and idempotent?

Published on 14 Apr 2026 - 9:53

41

Views

Determining all scalars $a \in \mathbb{R}$ for which a matrixrepresentation is orthogonal?

Published on 13 Apr 2026 - 7:44

61

Views

Determining dimension of a sum of subspaces in terms of a parameter

Published on 12 Apr 2026 - 7:40

3.3k

Views

Parallelogram law in $L_1$ space

Published on 15 Apr 2026 - 23:10

175

Views

Is taking the real part required in vector orthogonality and projection?

Published on 14 Apr 2026 - 4:43

135

Views

Is the inverse of a bijective connectedness preserving map , on a complete real inner product space , also connectedness preserving?

Published on 14 Apr 2026 - 20:20

List Question

Prove that the linear transformations are the same.

Intuition for the Cauchy-Schwarz inequality

Where did I go wrong with the Gram-Schmidt orthogonalisation process?

Normalizing a basis

if $E,F$, two bases are orthonormal then $T$ is unitary.

Prove there's a unitary linear operator

Finding orthonormal basis for a subspace $W$ of the Euclidean space $\mathbb{R}^3$.

Proving space of skew-symmetric matrices is orthogonal complement of symmetric matrices

The spectrum of a polynomial of an operator, question about proof, why are the operators invertible?

Why is $T$ normal and idempotent?

Determining all scalars $a \in \mathbb{R}$ for which a matrixrepresentation is orthogonal?

Determining dimension of a sum of subspaces in terms of a parameter

Parallelogram law in $L_1$ space

Is taking the real part required in vector orthogonality and projection?

Is the inverse of a bijective connectedness preserving map , on a complete real inner product space , also connectedness preserving?

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