List questions from inner-products

Published on 27 Dec 2016 - 19:47

84

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Showing $(A^T A)^2 = A^T A$ , where matrix A has orthornomal rows

Published on 27 Mar 2026 - 22:55

6.1k

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Why does the fact that "$Tv$ is orthogonal to $v$ for all $v$ implies T is the zero operator" break down for real inner product spaces?

Published on 28 Dec 2016 - 4:24

168

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Finding an infinite Set Orthogonal to $\mathbb{R}\{e^x\}$

Published on 28 Mar 2026 - 3:00

66

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Find vector vertical to given vector of R^4

Published on 29 Dec 2016 - 13:49

163

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Cauchy-Schwarz proof in my Cambridge notes

Published on 29 Dec 2016 - 17:25

94

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Finding the adjoint of $\alpha: p(X)\to(X+1)p(X)$

Published on 27 Mar 2026 - 22:52

592

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Inverse of a positive definite automorphism over infinitely generated inner product space

Published on 28 Mar 2026 - 0:29

129

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is $\alpha^2$ positive definite, as $\alpha$ is positive definite

Published on 28 Mar 2026 - 0:28

71

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Question on proof of $\mathrm{rank}(A^*A)=\mathrm{rank}(A)$

Published on 31 Dec 2016 - 6:13

201

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Prove that $X$ is not Hilbert

Published on 31 Dec 2016 - 10:39

353

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Must an orthogonal diagonalizable endomorphism with real eigenvalues be self-adjoint?

Published on 28 Mar 2026 - 0:27

971

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What is the angle between those two matrices over $\mathbb{C}$?

Published on 02 Jan 2017 - 0:38

123

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Step in the proof of the Cauchy-Schwarz inequality

Published on 02 Jan 2017 - 22:59

923

Views

Show that the powers of a nonzero Hermitian matrix is always nonzero

Published on 28 Mar 2026 - 0:30

List Question

Inner product within an inner product

Showing $(A^T A)^2 = A^T A$ , where matrix A has orthornomal rows

Why does the fact that "$Tv$ is orthogonal to $v$ for all $v$ implies T is the zero operator" break down for real inner product spaces?

Finding an infinite Set Orthogonal to $\mathbb{R}\{e^x\}$

Find vector vertical to given vector of R^4

Cauchy-Schwarz proof in my Cambridge notes

Finding the adjoint of $\alpha: p(X)\to(X+1)p(X)$

Inverse of a positive definite automorphism over infinitely generated inner product space

is $\alpha^2$ positive definite, as $\alpha$ is positive definite

Question on proof of $\mathrm{rank}(A^*A)=\mathrm{rank}(A)$

Prove that $X$ is not Hilbert

Must an orthogonal diagonalizable endomorphism with real eigenvalues be self-adjoint?

What is the angle between those two matrices over $\mathbb{C}$?

Step in the proof of the Cauchy-Schwarz inequality

Show that the powers of a nonzero Hermitian matrix is always nonzero

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