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 1.2k · Answer 2 · 2026-03-26 04:32:27

1.2k

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General form of left and right eigenvectors of upper triangular matrices

Published on 26 Mar 2026 - 4:32

score 364 · Answer 3 · 2026-03-26 04:34:05

364

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Eigenvalues of the sum of full rank permutation matrices

Published on 26 Mar 2026 - 4:34

score 85 · Answer 4 · 2026-03-26 04:32:45

85

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Eigenthings of matrices with nonconstant coefficients

Published on 26 Mar 2026 - 4:32

score 125 · Answer 5 · 2026-03-25 01:24:07

125

Views

Prove that $\lVert X\rVert^2 =\sum_{i,j=1}^\infty\lvert\langle u_i,Xu_j\rangle\rvert^2$.

Published on 25 Mar 2026 - 1:24

score 406 · Answer 6 · 2026-03-27 11:07:39

406

Views

Which statement is false ?(Linear algebra problem)

Published on 27 Mar 2026 - 11:07

score 116 · Answer 7 · 2018-02-02 10:15:55

116

Views

Finding nonzero entries in Jordan canonical form

Published on 02 Feb 2018 - 10:15

score 49 · Answer 8 · 2026-03-25 17:42:15

49

Views

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 507 · Answer 9 · 2026-03-22 10:56:20

507

Views

Finding an eigenvector (fixed point) of a linear system of equations

Published on 22 Mar 2026 - 10:56

score 1.4k · Answer 10 · 2026-03-27 02:07:39

1.4k

Views

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

Published on 27 Mar 2026 - 2:07

score 199 · Answer 11 · 2026-03-25 09:32:05

199

Views

Minimal polynomial of a linear mapping which is semilinear over some extension field

Published on 25 Mar 2026 - 9:32

score 789 · Answer 12 · 2026-03-26 01:28:57

789

Views

Find values for x such that A is not invertible.

Published on 26 Mar 2026 - 1:28

score 569 · Answer 13 · 2026-03-25 22:10:28

569

Views

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

Published on 25 Mar 2026 - 22:10

score 113 · Answer 14 · 2026-03-26 04:31:53

113

Views

Eigenvalues of symmetric $\mathbb{R}^{p\times p}$ matrix

Published on 26 Mar 2026 - 4:31

score 271 · Answer 15 · 2018-02-02 13:21:44

271

Views

Find a vector in $\mathbb{R}^4$ that is orthogonal to both $u$ and $v$.

Published on 02 Feb 2018 - 13:21

List Question

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

General form of left and right eigenvectors of upper triangular matrices

Eigenvalues of the sum of full rank permutation matrices

Eigenthings of matrices with nonconstant coefficients

Prove that $\lVert X\rVert^2 =\sum_{i,j=1}^\infty\lvert\langle u_i,Xu_j\rangle\rvert^2$.

Which statement is false ?(Linear algebra problem)

Finding nonzero entries in Jordan canonical form

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

Finding an eigenvector (fixed point) of a linear system of equations

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

Minimal polynomial of a linear mapping which is semilinear over some extension field

Find values for x such that A is not invertible.

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

Eigenvalues of symmetric $\mathbb{R}^{p\times p}$ matrix

Find a vector in $\mathbb{R}^4$ that is orthogonal to both $u$ and $v$.

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