Question

Rank of Matrix and dimension of the image of the function corresponding with that matrix

score 1.6k · Answer 1 · 2026-03-27 14:55:11

1.6k

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Rank of Matrix and dimension of the image of the function corresponding with that matrix

Published on 27 Mar 2026 - 14:55

score 324 · Answer 2 · 2026-03-25 07:58:46

324

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eigenvector of compositions implies eigenvector of respective functions in composition?

Published on 25 Mar 2026 - 7:58

score 420 · Answer 3 · 2026-03-25 07:48:43

420

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Formula for linear transformation of cross product

Published on 25 Mar 2026 - 7:48

score 1.1k · Answer 4 · 2018-04-10 21:15:56

1.1k

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range and basis of range of linear transformation

Published on 10 Apr 2018 - 21:15

score 56 · Answer 5 · 2018-04-10 23:41:13

56

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Is this mapping a well-defined mapping?

Published on 10 Apr 2018 - 23:41

score 547 · Answer 6 · 2018-04-11 11:31:34

547

Views

Column space and null space are equal for nilpotent $n \times n$ matrix with $n$ even and $\text{rank}(A)=n/2$

Published on 11 Apr 2018 - 11:31

score 25 · Answer 7 · 2018-04-11 14:35:29

25

Views

Linearization of $f(x)=-\cos(x)+1-\lambda$

Published on 11 Apr 2018 - 14:35

score 111 · Answer 8 · 2018-04-12 11:09:24

111

Views

Show surjectivity of Backward shifting $T: F^{\infty} \Rightarrow F^{\infty}$ defined as $T(x_1,x_2,...) =(x_2,x_3,....)$

Published on 12 Apr 2018 - 11:09

score 234 · Answer 9 · 2026-03-28 02:21:27

234

Views

Linear transformation of triangular random variables

Published on 28 Mar 2026 - 2:21

score 223 · Answer 10 · 2026-03-19 20:32:16

223

Views

Prove pullback of $f$ on $T^{k}(V)$ is a linear transformation

Published on 19 Mar 2026 - 20:32

score 123 · Answer 11 · 2026-03-27 16:22:51

123

Views

Prove that $\{I, T, ..., T^k\}$ is linearly dependent (LD) if and only if $\forall v \colon \{v, T(v), ..., T^k(v)\}$ is LD.

Published on 27 Mar 2026 - 16:22

score 1k · Answer 12 · 2026-03-25 11:03:17

1k

Views

Coordinate free proof that $\operatorname{trace}(A)=0\:\Longrightarrow\:A=BC-CB$

Published on 25 Mar 2026 - 11:03

score 503 · Answer 13 · 2018-04-13 02:46:14

503

Views

Are the following matrices similar, but not congruent?

Published on 13 Apr 2018 - 2:46

score 97 · Answer 14 · 2026-03-25 18:09:15

97

Views

Can any linear map, $\phi$, can be expressed a as $\phi = S + N - N^T,$ where $S$ is a self-adjoint and $N$ is a nilpotent map

Published on 25 Mar 2026 - 18:09

score 1.1k · Answer 15 · 2026-03-25 01:41:13

1.1k

Views

Restriction of diagonalizable transformation to invariant subspace is diagonalizable

Published on 25 Mar 2026 - 1:41

List Question

Rank of Matrix and dimension of the image of the function corresponding with that matrix

eigenvector of compositions implies eigenvector of respective functions in composition?

Formula for linear transformation of cross product

range and basis of range of linear transformation

Is this mapping a well-defined mapping?

Column space and null space are equal for nilpotent $n \times n$ matrix with $n$ even and $\text{rank}(A)=n/2$

Linearization of $f(x)=-\cos(x)+1-\lambda$

Show surjectivity of Backward shifting $T: F^{\infty} \Rightarrow F^{\infty}$ defined as $T(x_1,x_2,...) =(x_2,x_3,....)$

Linear transformation of triangular random variables

Prove pullback of $f$ on $T^{k}(V)$ is a linear transformation

Prove that $\{I, T, ..., T^k\}$ is linearly dependent (LD) if and only if $\forall v \colon \{v, T(v), ..., T^k(v)\}$ is LD.

Coordinate free proof that $\operatorname{trace}(A)=0\:\Longrightarrow\:A=BC-CB$

Are the following matrices similar, but not congruent?

Can any linear map, $\phi$, can be expressed a as $\phi = S + N - N^T,$ where $S$ is a self-adjoint and $N$ is a nilpotent map

Restriction of diagonalizable transformation to invariant subspace is diagonalizable

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