Question

$n - \mathrm{rank}\,\ A \ge \mathrm{rank}\,\ A - \mathrm{rank}\,\ A^2$

score 299 · Answer 1 · 2026-05-11 08:31:05

299

Views

$n - \mathrm{rank}\,\ A \ge \mathrm{rank}\,\ A - \mathrm{rank}\,\ A^2$

Published on 11 May 2026 - 8:31

score 324 · Answer 2 · 2026-05-10 15:52:07

324

Views

Orthogonal projection onto subspace in respect of an inner product

Published on 10 May 2026 - 15:52

score 186 · Answer 3 · 2026-04-24 08:11:42

186

Views

Generalisation of Schur's lemma

Published on 24 Apr 2026 - 8:11

score 46 · Answer 4 · 2026-04-13 19:39:49

46

Views

Show that $P_2\times P_2 \to \mathbb{R}$ is a dot product in $P_2$

Published on 13 Apr 2026 - 19:39

score 230 · Answer 5 · 2026-04-17 11:26:48

230

Views

Why $(y-\overline y)^t[f(x)-f(\overline x)]\ge-\Vert y-\overline y\Vert\Vert f(x)-f(\overline x)\Vert$?

Published on 17 Apr 2026 - 11:26

score 50 · Answer 6 · 2026-05-11 07:36:06

50

Views

What is meant by the "speed of rotation" here?

Published on 11 May 2026 - 7:36

score 1.3k · Answer 7 · 2026-04-11 14:40:43

1.3k

Views

Involutory matrix diagonaliable

Published on 11 Apr 2026 - 14:40

score 166 · Answer 8 · 2026-04-16 10:54:30

166

Views

Prove that if $v_{p} \notin \text{span}(S_k)$ then $S_{p} = S_k \cup\{v_{p}\}$ is linearly independent.

Published on 16 Apr 2026 - 10:54

score 27 · Answer 9 · 2026-04-17 13:10:23

What is the complete set of homogeneous polynomials with at least one negative coefficient which are non-negative for non-negative $x$?

score 60 · Answer 10 · 2026-05-14 06:58:51

60

Views

matrix decomposition with SVD

Published on 14 May 2026 - 6:58

score 1.3k · Answer 11 · 2026-04-14 18:18:39

1.3k

Views

Trace cauchy schwarz inequality

Published on 14 Apr 2026 - 18:18

score 2.5k · Answer 12 · 2026-04-13 22:04:51

2.5k

Views

Showing preimage of any subspace of $U$ is a subspace of $V$.

Published on 13 Apr 2026 - 22:04

score 675 · Answer 13 · 2026-04-13 22:05:24

675

Views

Eigenvalues of M

Published on 13 Apr 2026 - 22:05

score 109 · Answer 14 · 2026-04-11 16:17:35

109

Views

Is the set of real matrices diagonalizable in $\mathcal M_n(C)$ dense in the set of all companion matrices?

Published on 11 Apr 2026 - 16:17

score 150 · Answer 15 · 2026-04-15 06:13:00

150

Views

Are the coefficients of $n^{th}$ order monic polynomial with distinct roots in $\mathbb C$ dense in $\mathbb R^n$

Published on 15 Apr 2026 - 6:13

List Question

$n - \mathrm{rank}\,\ A \ge \mathrm{rank}\,\ A - \mathrm{rank}\,\ A^2$

Orthogonal projection onto subspace in respect of an inner product

Generalisation of Schur's lemma

Show that $P_2\times P_2 \to \mathbb{R}$ is a dot product in $P_2$

Why $(y-\overline y)^t[f(x)-f(\overline x)]\ge-\Vert y-\overline y\Vert\Vert f(x)-f(\overline x)\Vert$?

What is meant by the "speed of rotation" here?

Involutory matrix diagonaliable

Prove that if $v_{p} \notin \text{span}(S_k)$ then $S_{p} = S_k \cup\{v_{p}\}$ is linearly independent.

What is the complete set of homogeneous polynomials with at least one negative coefficient which are non-negative for non-negative $x$?

matrix decomposition with SVD

Trace cauchy schwarz inequality

Showing preimage of any subspace of $U$ is a subspace of $V$.

Eigenvalues of M

Is the set of real matrices diagonalizable in $\mathcal M_n(C)$ dense in the set of all companion matrices?

Are the coefficients of $n^{th}$ order monic polynomial with distinct roots in $\mathbb C$ dense in $\mathbb R^n$

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