Question

Proving row rank equals column rank of a matrix

score 327 · Answer 1 · 2019-04-10 14:28:30

327

Views

Proving row rank equals column rank of a matrix

Published on 10 Apr 2019 - 14:28

score 437 · Answer 2 · 2026-03-26 11:05:27

437

Views

Does PCA always have to reduce dimensionality?

Published on 26 Mar 2026 - 11:05

score 58 · Answer 3 · 2026-03-25 12:26:12

58

Views

Basis for that $T: \mathbb{R}^3 \to \mathbb{R}^3$ is in rational canonical form

Published on 25 Mar 2026 - 12:26

score 42 · Answer 4 · 2019-04-10 15:58:46

42

Views

Vector orthogonalisation that keeps (as many as possible) zero elements

Published on 10 Apr 2019 - 15:58

score 52 · Answer 5 · 2019-04-10 20:59:50

52

Views

Find the column space of the matrix $ \left(\begin{smallmatrix} 1 & 0 & -1 & 0 & 1\\ 0 & 1 & -1 & 2 &0\\ \end{smallmatrix}\right) $

Published on 10 Apr 2019 - 20:59

score 1.3k · Answer 6 · 2019-04-11 01:00:23

1.3k

Views

Let $T \colon V \to W$ be a linear transformation, and if $\dim(V) < \dim(W)$, T cannot be onto.

Published on 11 Apr 2019 - 1:00

score 598 · Answer 7 · 2026-04-03 00:20:52

598

Views

The set of all invertible operators need not be dense

Published on 03 Apr 2026 - 0:20

score 402 · Answer 8 · 2019-04-11 18:09:30

402

Views

How does the minimum distance between coordinates behave under change of basis?

Published on 11 Apr 2019 - 18:09

score 765 · Answer 9 · 2019-04-11 20:34:01

765

Views

Prove that BA cannot be invertible (A and B are linear transformations). Give an example of AB which is invertible.

Published on 11 Apr 2019 - 20:34

score 41 · Answer 10 · 2026-03-26 22:15:20

41

Views

Find sum of Subspaces combination of constraints

Published on 26 Mar 2026 - 22:15

score 45 · Answer 11 · 2019-04-12 07:12:01

45

Views

If $T \colon V \to V$ is a linear operation and $B$ is a basis for $V$, then $T$ is one-to-one $\iff$ $[T]_B$ is invertible.

Published on 12 Apr 2019 - 7:12

score 178 · Answer 12 · 2019-04-12 10:30:36

178

Views

Which polynomial kernels are cyclic, and how to find a cyclic generator

Published on 12 Apr 2019 - 10:30

score 162 · Answer 13 · 2026-03-28 08:38:49

162

Views

Given a Jordan canonical basis, how to find out to which generalized eigenspace picked generalized eigenvector belongs

Published on 28 Mar 2026 - 8:38

score 41 · Answer 14 · 2026-03-25 22:10:49

41

Views

Finite Rank Operator in Normed Space, not necessarily Hilbert neither Banach

Published on 25 Mar 2026 - 22:10

score 53 · Answer 15 · 2026-03-26 19:15:46

53

Views

Lower Dimensional Volume under Transformation

Published on 26 Mar 2026 - 19:15

List Question

Proving row rank equals column rank of a matrix

Does PCA always have to reduce dimensionality?

Basis for that $T: \mathbb{R}^3 \to \mathbb{R}^3$ is in rational canonical form

Vector orthogonalisation that keeps (as many as possible) zero elements

Find the column space of the matrix $ \left(\begin{smallmatrix} 1 & 0 & -1 & 0 & 1\\ 0 & 1 & -1 & 2 &0\\ \end{smallmatrix}\right) $

Let $T \colon V \to W$ be a linear transformation, and if $\dim(V) < \dim(W)$, T cannot be onto.

The set of all invertible operators need not be dense

How does the minimum distance between coordinates behave under change of basis?

Prove that BA cannot be invertible (A and B are linear transformations). Give an example of AB which is invertible.

Find sum of Subspaces combination of constraints

If $T \colon V \to V$ is a linear operation and $B$ is a basis for $V$, then $T$ is one-to-one $\iff$ $[T]_B$ is invertible.

Which polynomial kernels are cyclic, and how to find a cyclic generator

Given a Jordan canonical basis, how to find out to which generalized eigenspace picked generalized eigenvector belongs

Finite Rank Operator in Normed Space, not necessarily Hilbert neither Banach

Lower Dimensional Volume under Transformation

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