List questions from linear-transformations

Published on 27 Mar 2026 - 21:37

49

Views

Jordan form of $T^{-1}$ if $T=I-D$ where $D$ is the differential operator

Published on 25 Mar 2026 - 11:04

290

Views

Show the following is a linear transformation:

Published on 23 Apr 2018 - 1:08

694

Views

geometric transformations in 3d - combining rotation and scaling

Published on 25 Mar 2026 - 5:05

570

Views

Prove that the cross product of two vectors is a vector

Published on 25 Mar 2026 - 7:45

208

Views

Finding a basis $\beta$ to yield a diagonal matrix for a projection $T:V\to V$ on $W$ along $W'$

Published on 24 Apr 2018 - 7:23

129

Views

intuition behind finding fixed lines

Published on 26 Mar 2026 - 6:26

132

Views

Checking if a vector space has a basis consisting of eigenvectors of an operator?

Published on 25 Apr 2018 - 0:48

68

Views

Computation of linear operator norm. $||T||1=sup||f||≤1,||f||∈C(J)||Tx||$

Published on 28 Mar 2026 - 5:22

132

Views

A problem regarding the "exponential" of a continous linear mapping

Published on 26 Mar 2026 - 6:20

135

Views

Bogoliubov Transform

Published on 26 Mar 2026 - 23:24

65

Views

Why is the linear functional $F:C[a,b] \rightarrow \mathbb{R}$ such that $F(f)=\int f d\mu$ continuous?

Published on 25 Apr 2018 - 15:55

355

Views

Showing there exists a zero transformation between two vector spaces

Published on 27 Mar 2026 - 21:34

96

Views

Finding trace of a matrix by minimal polynolmial

Published on 26 Mar 2026 - 12:36

487

Views

An implication concerning $\operatorname{range}T\cap\operatorname{null}T = \{0\}$

Published on 26 Apr 2018 - 6:45

List Question

Image of linear transformation of subspaces

Jordan form of $T^{-1}$ if $T=I-D$ where $D$ is the differential operator

Show the following is a linear transformation:

geometric transformations in 3d - combining rotation and scaling

Prove that the cross product of two vectors is a vector

Finding a basis $\beta$ to yield a diagonal matrix for a projection $T:V\to V$ on $W$ along $W'$

intuition behind finding fixed lines

Checking if a vector space has a basis consisting of eigenvectors of an operator?

Computation of linear operator norm. $||T||1=sup||f||≤1,||f||∈C(J)||Tx||$

A problem regarding the "exponential" of a continous linear mapping

Bogoliubov Transform

Why is the linear functional $F:C[a,b] \rightarrow \mathbb{R}$ such that $F(f)=\int f d\mu$ continuous?

Showing there exists a zero transformation between two vector spaces

Finding trace of a matrix by minimal polynolmial

An implication concerning $\operatorname{range}T\cap\operatorname{null}T = \{0\}$

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