Question

Given operator $\hat{L}_z = \begin{bmatrix}1&0&0\\0&0&0\\0&0&-1\end{bmatrix}$, find the operators $\hat{L}_x$, $\hat{L}_y$, $\hat{L}^2$

score 57 · Answer 1 · 2026-03-26 12:08:30

57

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Given operator $\hat{L}_z = \begin{bmatrix}1&0&0\\0&0&0\\0&0&-1\end{bmatrix}$, find the operators $\hat{L}_x$, $\hat{L}_y$, $\hat{L}^2$

Published on 26 Mar 2026 - 12:08

score 49 · Answer 2 · 2026-03-25 17:42:15

49

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For $A \in L(V,V)$ where $(V, (\cdot,\cdot))$ is an inner prod space, $\exists !$ $z(x)$ such that $(x,Ay) = (z(x), y)$.

Published on 25 Mar 2026 - 17:42

score 1.4k · Answer 3 · 2026-03-22 10:12:02

1.4k

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linear endomorphism prove $T^n = 0$ where n = dimV

Published on 22 Mar 2026 - 10:12

score 569 · Answer 4 · 2026-03-25 22:10:28

569

Views

$T$ has an eigenvalue of $3$ or $-3$.

Published on 25 Mar 2026 - 22:10

score 52 · Answer 5 · 2026-03-21 22:33:32

52

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Find the point $A'$ which results from reflecting $A$ through $L$.

Published on 21 Mar 2026 - 22:33

score 57 · Answer 6 · 2026-03-21 16:27:35

57

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Vector Transformation

Published on 21 Mar 2026 - 16:27

score 91 · Answer 7 · 2026-03-25 14:22:42

91

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existence of continuous non-$1$-homogeneous additive mappings

Published on 25 Mar 2026 - 14:22

score 38 · Answer 8 · 2026-03-25 23:38:41

38

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Concerning the existence of the eigenvalues of $T\in\mathcal{L}(\mathbf{C^\infty})$

Published on 25 Mar 2026 - 23:38

score 46 · Answer 9 · 2026-03-22 08:08:01

46

Views

Good online resource for studying introductory linear algebra

Published on 22 Mar 2026 - 8:08

score 188 · Answer 10 · 2026-03-25 22:02:43

188

Views

$T\in\mathcal{L}(\mathbf{R^3})$ with eigen values $-4,5,\sqrt{7}$

Published on 25 Mar 2026 - 22:02

score 1.3k · Answer 11 · 2026-03-26 01:09:26

1.3k

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Proof Verification: $\dim\mathrm{Im} T+\dim\ker T=\dim V$

Published on 26 Mar 2026 - 1:09

score 146 · Answer 12 · 2026-03-22 03:46:03

146

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$T$ is a linear operator, with $T^2=Id$. Is $T$ necessarily normal?

Published on 22 Mar 2026 - 3:46

score 1k · Answer 13 · 2026-03-26 02:53:01

1k

Views

Conjugates of eigenvalues are also eigenvalues

Published on 26 Mar 2026 - 2:53

score 55 · Answer 14 · 2018-02-04 22:10:45

55

Views

Linear transformation finding matrix of $T_c$

Published on 04 Feb 2018 - 22:10

score 226 · Answer 15 · 2026-03-26 08:52:33

226

Views

In finite dimension, $W_1^0+W_2^0=(W_1\cap W_2)^0$

Published on 26 Mar 2026 - 8:52

List Question

Given operator $\hat{L}_z = \begin{bmatrix}1&0&0\\0&0&0\\0&0&-1\end{bmatrix}$, find the operators $\hat{L}_x$, $\hat{L}_y$, $\hat{L}^2$

For $A \in L(V,V)$ where $(V, (\cdot,\cdot))$ is an inner prod space, $\exists !$ $z(x)$ such that $(x,Ay) = (z(x), y)$.

linear endomorphism prove $T^n = 0$ where n = dimV

$T$ has an eigenvalue of $3$ or $-3$.

Find the point $A'$ which results from reflecting $A$ through $L$.

Vector Transformation

existence of continuous non-$1$-homogeneous additive mappings

Concerning the existence of the eigenvalues of $T\in\mathcal{L}(\mathbf{C^\infty})$

Good online resource for studying introductory linear algebra

$T\in\mathcal{L}(\mathbf{R^3})$ with eigen values $-4,5,\sqrt{7}$

Proof Verification: $\dim\mathrm{Im} T+\dim\ker T=\dim V$

$T$ is a linear operator, with $T^2=Id$. Is $T$ necessarily normal?

Conjugates of eigenvalues are also eigenvalues

Linear transformation finding matrix of $T_c$

In finite dimension, $W_1^0+W_2^0=(W_1\cap W_2)^0$

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