Question

Any connection between the adjoint map that has determinant $det(\phi)^{(n-1)}$, and the adjoint map that has determinant $ det\phi$?

score 244 · Answer 1 · 2026-05-04 14:59:43

244

Views

Any connection between the adjoint map that has determinant $det(\phi)^{(n-1)}$, and the adjoint map that has determinant $ det\phi$?

Published on 04 May 2026 - 14:59

score 59 · Answer 2 · 2026-05-04 13:50:00

59

Views

Prove: If $y_0,...,y_n$ are pairwise different real numbers, then the vectors $f_{y_0},...,f_{y_n}$ form a basis of the dual space $V^*$

Published on 04 May 2026 - 13:50

score 221 · Answer 3 · 2026-05-04 14:59:25

221

Views

My attempts to show the dual map is isometric.

Published on 04 May 2026 - 14:59

score 1000 · Answer 4 · 2026-05-04 14:57:21

1000

Views

Sheldon Axler 3.109 : How to interpret " range T' = $(null\;T)^0$ "?

Published on 04 May 2026 - 14:57

score 55 · Answer 5 · 2026-05-04 16:03:45

55

Views

In construction of an inner product that maps from a vector space to a dual, what makes the map considered to be natural?

Published on 04 May 2026 - 16:03

score 278 · Answer 6 · 2026-05-04 14:59:43

278

Views

Annihilator of subspace in terms of a set difference?

Published on 04 May 2026 - 14:59

score 97 · Answer 7 · 2026-05-04 15:02:12

97

Views

If we identify $V$ and $U$ with their canonical images in $V^{}$ and $U^{}$ prove that the restriction of $T^{**}$ to $V$ coincides with $T$.

Published on 04 May 2026 - 15:02

score 818 · Answer 8 · 2026-05-04 14:59:21

818

Views

Proving that $\phi (T) = T^*$ is an isomorphism between vector spaces

Published on 04 May 2026 - 14:59

score 84 · Answer 9 · 2026-05-04 14:56:34

84

Views

Dual map and solving linear equation

Published on 04 May 2026 - 14:56

score 1.3k · Answer 10 · 2026-05-04 14:56:34

1.3k

Views

Duality: dual maps and linear maps

Published on 04 May 2026 - 14:56

score 92 · Answer 11 · 2026-05-04 14:59:25

92

Views

A question about the dual of super vector space

Published on 04 May 2026 - 14:59

score 141 · Answer 12 · 2026-04-25 20:23:11

141

Views

Finding preimage of point for isogenies between elliptic curves

Published on 25 Apr 2026 - 20:23

score 485 · Answer 13 · 2026-04-25 05:27:37

485

Views

Show that $(T\circ S)'=S'\circ T'$

Published on 25 Apr 2026 - 5:27

score 623 · Answer 14 · 2026-04-24 02:40:43

623

Views

Write $T'(\phi_1)$ and $T'(\phi_2)$. as a linear combination of $\omega_1,\omega_2,\omega_3$

Published on 24 Apr 2026 - 2:40

score 100 · Answer 15 · 2026-04-23 01:09:08

100

Views

Prove that $\exists f\in V^*$ and $w\in W$ s.t. $A(v)=f(v)w\;\forall v\in V$

Published on 23 Apr 2026 - 1:09

List Question

Any connection between the adjoint map that has determinant $det(\phi)^{(n-1)}$, and the adjoint map that has determinant $ det\phi$?

Prove: If $y_0,...,y_n$ are pairwise different real numbers, then the vectors $f_{y_0},...,f_{y_n}$ form a basis of the dual space $V^*$

My attempts to show the dual map is isometric.

Sheldon Axler 3.109 : How to interpret " range T' = $(null\;T)^0$ "?

In construction of an inner product that maps from a vector space to a dual, what makes the map considered to be natural?

Annihilator of subspace in terms of a set difference?

If we identify $V$ and $U$ with their canonical images in $V^{}$ and $U^{}$ prove that the restriction of $T^{**}$ to $V$ coincides with $T$.

Proving that $\phi (T) = T^*$ is an isomorphism between vector spaces

Dual map and solving linear equation

Duality: dual maps and linear maps

A question about the dual of super vector space

Finding preimage of point for isogenies between elliptic curves

Show that $(T\circ S)'=S'\circ T'$

Write $T'(\phi_1)$ and $T'(\phi_2)$. as a linear combination of $\omega_1,\omega_2,\omega_3$

Prove that $\exists f\in V^*$ and $w\in W$ s.t. $A(v)=f(v)w\;\forall v\in V$

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