Question

$V = \operatorname{Im} T \oplus \operatorname{Im}T^t \oplus H$ where $T^2 = 0$ and $H = \ker T \cap \ker T^t$

score 244 · Answer 1 · 2026-04-16 04:46:56

244

Views

$V = \operatorname{Im} T \oplus \operatorname{Im}T^t \oplus H$ where $T^2 = 0$ and $H = \ker T \cap \ker T^t$

Published on 16 Apr 2026 - 4:46

score 230 · Answer 2 · 2026-04-09 13:32:52

230

Views

Properties of Matrix Polynomials

Published on 09 Apr 2026 - 13:32

score 167 · Answer 3 · 2026-04-12 12:17:57

167

Views

How to know if a given (infinite) set of vectors lie in the same hyperplane?

Published on 12 Apr 2026 - 12:17

score 221 · Answer 4 · 2026-05-11 04:37:07

221

Views

For genus $g$ Riemann surface, $\operatorname{H}^1(X)$ has complex dimension $2g$?

Published on 11 May 2026 - 4:37

score 79 · Answer 5 · 2026-04-12 22:44:28

79

Views

Let $0≠v∈\mathbb R^2$. Compute the angle between $v$ and $Av$ where $A$ is a matrix

Published on 12 Apr 2026 - 22:44

score 234 · Answer 6 · 2026-05-11 01:48:02

234

Views

Finding a Jordan basis of a $3\times 3$ matrix

Published on 11 May 2026 - 1:48

score 275 · Answer 7 · 2026-04-10 20:59:48

275

Views

What is the distribution of amplitude and phase of circularly symmetric normal random variable.

Published on 10 Apr 2026 - 20:59

score 243 · Answer 8 · 2026-04-16 10:52:48

243

Views

Calculating Dimension of Intersection of Kernels

Published on 16 Apr 2026 - 10:52

score 3.6k · Answer 9 · 2026-04-17 08:16:30

3.6k

Views

Show That Minimizer of Rayleigh Quotient Is the Smallest Eigenvalue - $ \min_{x : \left\| x \right\| = 1} {x}^{} {A}^{} A x = {\lambda}_{1}^{2} $

Published on 17 Apr 2026 - 8:16

score 219 · Answer 10 · 2026-05-10 13:51:33

219

Views

Show that $(A^TA)^{-1} A^T$ minimizes $\mbox{Tr}(X^T X)$ over all matrices $X$ such that $XA = I$

Published on 10 May 2026 - 13:51

score 985 · Answer 11 · 2026-05-10 23:28:05

985

Views

Confusion about orthogonal basis of a quadratic form.

Published on 10 May 2026 - 23:28

score 171 · Answer 12 · 2026-04-16 13:12:36

171

Views

Calculate the $Ker(L_1)$

Published on 16 Apr 2026 - 13:12

score 1.2k · Answer 13 · 2026-05-07 14:23:37

1.2k

Views

Smiths normal form is similar to $xI-A.$

Published on 07 May 2026 - 14:23

score 1.3k · Answer 14 · 2026-05-13 14:20:28

1.3k

Views

Finding eigenvalues and there properties of permutation matrix

Published on 13 May 2026 - 14:20

score 440 · Answer 15 · 2026-04-15 02:14:29

440

Views

Which of the following three sets are closed under addition?

Published on 15 Apr 2026 - 2:14

List Question

$V = \operatorname{Im} T \oplus \operatorname{Im}T^t \oplus H$ where $T^2 = 0$ and $H = \ker T \cap \ker T^t$

Properties of Matrix Polynomials

How to know if a given (infinite) set of vectors lie in the same hyperplane?

For genus $g$ Riemann surface, $\operatorname{H}^1(X)$ has complex dimension $2g$?

Let $0≠v∈\mathbb R^2$. Compute the angle between $v$ and $Av$ where $A$ is a matrix

Finding a Jordan basis of a $3\times 3$ matrix

What is the distribution of amplitude and phase of circularly symmetric normal random variable.

Calculating Dimension of Intersection of Kernels

Show That Minimizer of Rayleigh Quotient Is the Smallest Eigenvalue - $ \min_{x : \left\| x \right\| = 1} {x}^{} {A}^{} A x = {\lambda}_{1}^{2} $

Show that $(A^TA)^{-1} A^T$ minimizes $\mbox{Tr}(X^T X)$ over all matrices $X$ such that $XA = I$

Confusion about orthogonal basis of a quadratic form.

Calculate the $Ker(L_1)$

Smiths normal form is similar to $xI-A.$

Finding eigenvalues and there properties of permutation matrix

Which of the following three sets are closed under addition?

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