Reseni.pdf

lag11cvirusres.pdf
Preview of Reseni
🔗 Source: math.fel.cvut.cz
📊 Size: 3.3 MB
📄 Pages: 6 pages
⬇️ Downloads: 83

Summary

R≤1[x] →R≤1[x] jsou vlastní hodnoty λ = 1 a λ = 2. Pro λ = 1 je vlastním podprostorem eigen(1, A) = span(x+1) a pro λ = 2 je vlastním podprostorem eigen(2, A) = span(1).

U zobrazení A : R4 →R4 je vlastní hodnota λ = 0 a vlastním podprostorem je eigen(0, A) = span((0, 0, 0, 1)).

U matice A =
 1
2
2
−2

jsou vlastní hodnoty 2 a −3. Diagonální matice podobná matici A je D =
 2
0
0
−3

a matice P =
 2
1
1
−2

je přechodová matice mezi bází B a K2.

U matice A =


3
4
8
0
1
−2
0
0
2


není uveden žádný konkrétní úkol.

U matice
 1
1
0
3

není uveden žádný konkrétní úkol, ale pokud bychom chtěli umocnit ji na druhou, výsledkem by byla matice
 1
1
0
3

*
 1
1
0
3

=
 1
4
0
10

.

Description

R≤1[x] →R≤1[x] jsou vlastní hodnoty λ = 1 a λ = 2.

Technical Information

  • File Format: PDF
  • File Size: 3.3 MB
  • Pages: 6
  • Language: PT
  • Total Downloads: 83
  • Last Updated: 1 week ago

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