Question

$F: R_{n}[X] → R_{n}[X] , F(f) = f'$. Find ker(F) and im(F)

score 59 · Answer 1 · 2026-03-21 17:58:18

59

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$F: R_{n}[X] → R_{n}[X] , F(f) = f'$. Find ker(F) and im(F)

Published on 21 Mar 2026 - 17:58

score 561 · Answer 2 · 2026-03-23 12:18:58

561

Views

Composition of bounded linear operator and an inverse of a linear operator bounded?

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score 50 · Answer 3 · 2026-03-22 07:28:27

50

Views

Working with ordered bases and linear transformations

Published on 22 Mar 2026 - 7:28

score 46 · Answer 4 · 2026-03-21 23:47:34

46

Views

Different extensions of linear operators on euclidean space

Published on 21 Mar 2026 - 23:47

score 400 · Answer 5 · 2026-03-21 23:52:40

400

Views

Finding $T:V\to V$ By The Span Of $\ker(T)$ And $\operatorname{Im}(T)$

Published on 21 Mar 2026 - 23:52

score 44 · Answer 6 · 2026-03-22 13:44:16

44

Views

Find kernel of a linear transformation if it possible.

Published on 22 Mar 2026 - 13:44

score 110 · Answer 7 · 2026-03-22 00:22:00

110

Views

Show that if $A,B$ are $2\times2$ matrices, then $(AB-BA)^2$ commutes with all $2\times2$ matrices.

Published on 22 Mar 2026 - 0:22

score 385 · Answer 8 · 2026-03-22 07:20:09

385

Views

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score 36 · Answer 9 · 2026-03-24 20:41:21

36

Views

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Published on 24 Mar 2026 - 20:41

score 52 · Answer 10 · 2026-03-22 05:21:35

52

Views

How can I find Linear transformation $T: \mathbb R_2 [x] \to M_2(\mathbb R)$ so that $Ker$ $T=0$?

Published on 22 Mar 2026 - 5:21

score 4.3k · Answer 11 · 2026-03-25 09:24:25

4.3k

Views

proving the composition of two linear transformations is a linear transformation

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score 410 · Answer 12 · 2026-03-23 13:30:03

410

Views

How to find dimension of a given quotient vector space?

Published on 23 Mar 2026 - 13:30

score 9.9k · Answer 13 · 2026-03-21 20:05:51

9.9k

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Published on 21 Mar 2026 - 20:05

score 63 · Answer 14 · 2026-03-25 04:43:22

63

Views

On the topological properties and measure of $\{(A,B)\in M(n,\mathbb R)\times M(n,\mathbb R) : \det (A+B)=\det(A)+\det(B)\}$

Published on 25 Mar 2026 - 4:43

score 77 · Answer 15 · 2026-03-21 20:05:57

77

Views

Finding matrix representation of a linear map

Published on 21 Mar 2026 - 20:05

List Question

$F: R_{n}[X] → R_{n}[X] , F(f) = f'$. Find ker(F) and im(F)

Composition of bounded linear operator and an inverse of a linear operator bounded?

Working with ordered bases and linear transformations

Different extensions of linear operators on euclidean space

Finding $T:V\to V$ By The Span Of $\ker(T)$ And $\operatorname{Im}(T)$

Find kernel of a linear transformation if it possible.

Show that if $A,B$ are $2\times2$ matrices, then $(AB-BA)^2$ commutes with all $2\times2$ matrices.

Showing that a Hilbert space is finite dimensional

Find a basis S in $R^{4}$ such that $M_{S}(F)$ is diagonal

How can I find Linear transformation $T: \mathbb R_2 [x] \to M_2(\mathbb R)$ so that $Ker$ $T=0$?

proving the composition of two linear transformations is a linear transformation

How to find dimension of a given quotient vector space?

Finding basis of kernel of a linear transformation

On the topological properties and measure of $\{(A,B)\in M(n,\mathbb R)\times M(n,\mathbb R) : \det (A+B)=\det(A)+\det(B)\}$

Finding matrix representation of a linear map

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