Question

What does it mean for a linear transformation to have a plane of eigenvectors?

score 127 · Answer 1 · 2026-04-04 10:17:08

127

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What does it mean for a linear transformation to have a plane of eigenvectors?

Published on 04 Apr 2026 - 10:17

score 142 · Answer 2 · 2026-03-25 12:54:49

142

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What is the meaning of $A^T A$?

Published on 25 Mar 2026 - 12:54

score 310 · Answer 3 · 2019-03-03 07:52:26

310

Views

A question regarding the image of a linear map on intersection of subspaces

Published on 03 Mar 2019 - 7:52

score 174 · Answer 4 · 2026-03-25 09:27:15

174

Views

$B: \mathbb R\times \mathbb R \to \mathbb R$ be the function $B(a,b) = ab $. Which of the following is true?

Published on 25 Mar 2026 - 9:27

score 32 · Answer 5 · 2019-03-03 23:59:54

32

Views

How to confirm that a set of vectors spans a particular set of vectors?

Published on 03 Mar 2019 - 23:59

score 1.5k · Answer 6 · 2026-03-26 22:19:50

1.5k

Views

If $V = \text{null}(T-\lambda I) \oplus \text{range}(T-\lambda I)$, then $T$ is diagonalizable?

Published on 26 Mar 2026 - 22:19

score 53 · Answer 7 · 2019-03-04 07:12:52

53

Views

Is the following a linear transformation?

Published on 04 Mar 2019 - 7:12

score 395 · Answer 8 · 2026-03-26 22:50:43

395

Views

Linear map preserving area?

Published on 26 Mar 2026 - 22:50

score 951 · Answer 9 · 2026-04-04 11:58:18

951

Views

An identity matrix has only one eigenvalue, 1, but an infinite amount of eigenvectors corresponding to that eigenvalue, correct?

Published on 04 Apr 2026 - 11:58

score 578 · Answer 10 · 2026-04-04 11:57:24

578

Views

The identity matrix in, for example, $R^2$, has every vector in $R^2$ as an eigenvector, correct?

Published on 04 Apr 2026 - 11:57

score 484 · Answer 11 · 2026-03-24 23:46:33

484

Views

A direct result from the definition of operator norm: $\|Av\|\leq \|A\|_{op} \|v\|$

Published on 24 Mar 2026 - 23:46

score 162 · Answer 12 · 2026-03-26 03:00:12

162

Views

When is a positive matrix a monotone operator?

Published on 26 Mar 2026 - 3:00

score 38 · Answer 13 · 2019-03-05 22:38:01

38

Views

Proving $T^{n} \in \mathcal{L}(V, V), \forall n \in \mathbb{N}$.

Published on 05 Mar 2019 - 22:38

score 562 · Answer 14 · 2019-03-06 02:39:21

562

Views

Determining whether or not the given maps are linear transformations from $C[0, 1]$ to $\mathbb{R}$

Published on 06 Mar 2019 - 2:39

score 691 · Answer 15 · 2026-03-26 22:19:24

691

Views

Direct Sum and Linear Operators

Published on 26 Mar 2026 - 22:19

List Question

What does it mean for a linear transformation to have a plane of eigenvectors?

What is the meaning of $A^T A$?

A question regarding the image of a linear map on intersection of subspaces

$B: \mathbb R\times \mathbb R \to \mathbb R$ be the function $B(a,b) = ab $. Which of the following is true?

How to confirm that a set of vectors spans a particular set of vectors?

If $V = \text{null}(T-\lambda I) \oplus \text{range}(T-\lambda I)$, then $T$ is diagonalizable?

Is the following a linear transformation?

Linear map preserving area?

An identity matrix has only one eigenvalue, 1, but an infinite amount of eigenvectors corresponding to that eigenvalue, correct?

The identity matrix in, for example, $R^2$, has every vector in $R^2$ as an eigenvector, correct?

A direct result from the definition of operator norm: $\|Av\|\leq \|A\|_{op} \|v\|$

When is a positive matrix a monotone operator?

Proving $T^{n} \in \mathcal{L}(V, V), \forall n \in \mathbb{N}$.

Determining whether or not the given maps are linear transformations from $C[0, 1]$ to $\mathbb{R}$

Direct Sum and Linear Operators

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