Question

Consider the linear mapping T : P 2 ( R ) →P 2 ( R ).... Compute the matrix

score 59 · Answer 1 · 2026-03-26 08:12:53

59

Views

Consider the linear mapping T : P 2 ( R ) →P 2 ( R ).... Compute the matrix

Published on 26 Mar 2026 - 8:12

score 263 · Answer 2 · 2026-03-25 07:44:48

263

Views

If A is diagonalisable then $T\in L(V)$ given by $T(B)=AB-BA$ is diagonalisable

Published on 25 Mar 2026 - 7:44

score 961 · Answer 3 · 2018-09-11 20:27:37

961

Views

Prove that an $m$ by $n$ matrix is invertible iff its columns form a basis in $\mathbb F^n$.

Published on 11 Sep 2018 - 20:27

score 45 · Answer 4 · 2018-09-12 06:39:27

45

Views

Standard matrix for linear transformations

Published on 12 Sep 2018 - 6:39

score 85 · Answer 5 · 2018-09-12 07:42:48

85

Views

Properties of matrix of linear transformation w.r.t an orthonormal basis

Published on 12 Sep 2018 - 7:42

score 125 · Answer 6 · 2018-09-12 13:23:16

125

Views

$T = \lambda I_V$ for some $\lambda\in\mathbf{F}$ whenever every subspace of $V$ with dimension $\dim V-1$ is $T$-invariant.

Published on 12 Sep 2018 - 13:23

score 121 · Answer 7 · 2018-09-12 15:54:02

121

Views

Implications of every non zero vector in $V$ being an eigenvector.

Published on 12 Sep 2018 - 15:54

score 658 · Answer 8 · 2018-09-12 18:28:15

658

Views

Prove that if every linear operator which commutes with $T$ is a polynomial in $T$, then $T$ admits a cyclic vector $v$ in $V$ (finite dimensional).

Published on 12 Sep 2018 - 18:28

score 216 · Answer 9 · 2026-02-23 01:21:08

216

Views

Dimension of subspace annihilated by set of linear functional.

Published on 23 Feb 2026 - 1:21

score 432 · Answer 10 · 2018-09-13 18:55:38

432

Views

Image (column space) and kernel (null space) of a composition of linear transformations

Published on 13 Sep 2018 - 18:55

score 254 · Answer 11 · 2018-09-14 10:58:18

254

Views

Linear transformation and ordered basis

Published on 14 Sep 2018 - 10:58

score 275 · Answer 12 · 2018-09-14 11:24:35

275

Views

Linear transformations over finite fields

Published on 14 Sep 2018 - 11:24

score 91 · Answer 13 · 2026-03-25 08:07:01

91

Views

Proving statements regarding projections onto subspaces

Published on 25 Mar 2026 - 8:07

score 31 · Answer 14 · 2026-03-27 18:05:44

31

Views

Covering an Interval through Transformations

Published on 27 Mar 2026 - 18:05

score 53 · Answer 15 · 2018-09-15 06:26:21

53

Views

There exist an element of $L(V)$ which is not a polynomial of an operator

Published on 15 Sep 2018 - 6:26

List Question

Consider the linear mapping T : P 2 ( R ) →P 2 ( R ).... Compute the matrix

If A is diagonalisable then $T\in L(V)$ given by $T(B)=AB-BA$ is diagonalisable

Prove that an $m$ by $n$ matrix is invertible iff its columns form a basis in $\mathbb F^n$.

Standard matrix for linear transformations

Properties of matrix of linear transformation w.r.t an orthonormal basis

$T = \lambda I_V$ for some $\lambda\in\mathbf{F}$ whenever every subspace of $V$ with dimension $\dim V-1$ is $T$-invariant.

Implications of every non zero vector in $V$ being an eigenvector.

Prove that if every linear operator which commutes with $T$ is a polynomial in $T$, then $T$ admits a cyclic vector $v$ in $V$ (finite dimensional).

Dimension of subspace annihilated by set of linear functional.

Image (column space) and kernel (null space) of a composition of linear transformations

Linear transformation and ordered basis

Linear transformations over finite fields

Proving statements regarding projections onto subspaces

Covering an Interval through Transformations

There exist an element of $L(V)$ which is not a polynomial of an operator

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