8. EpÐlush Trigwnik¸n Susthmˆtwn EpÐlush Genik¸n Susthmˆtwn
Je¸rhma Ôparxhc kai monadikìthtac lÔshc
Kˆje trigwnikì sÔsthma èqei
I monadik lÔsh ann aj;j6= 0 8j
I kammÐa lÔsh ann gia kˆpoio j, ajj = 0 kai
bj
Pj1
k=1 aj;kxk6= 0
I ˆpeirec jPlÔseic ann gia kˆpoio , ajj = 0 kai
bj j1
k=1 aj;kxk = 0
9. EpÐlush Trigwnik¸n Susthmˆtwn EpÐlush Genik¸n Susthmˆtwn
EpÐlush Genik¸n Susthmˆtwn (m = n)
Gia na lÔsw (melet sw) èna genikì sÔsthma
I to metatrèpw se isodÔnamo trigwnikì
I lÔnw (melet¸) to trigwnikì
10. EpÐlush Trigwnik¸n Susthmˆtwn EpÐlush Genik¸n Susthmˆtwn
EpÐlush Genik¸n Susthmˆtwn (m = n)
Gia na lÔsw (melet sw) èna genikì sÔsthma
I to metatrèpw se isodÔnamo trigwnikì
I lÔnw (melet¸) to trigwnikì
DÔo sust mata exis¸sewn eÐnai isodÔnama ann ìlec oi lÔseic tou
enìc eÐnai kai lÔseic tou ˆllou.
11. EpÐlush Trigwnik¸n Susthmˆtwn EpÐlush Genik¸n Susthmˆtwn
EpÐlush Genik¸n Susthmˆtwn (m = n)
Gia na lÔsw (melet sw) èna genikì sÔsthma
I to metatrèpw se isodÔnamo trigwnikì
I lÔnw (melet¸) to trigwnikì
DÔo sust mata exis¸sewn eÐnai isodÔnama ann ìlec oi lÔseic tou
enìc eÐnai kai lÔseic tou ˆllou.
To sÔnolo twn lÔsewn enìc sust matoc den allˆzei an
12. EpÐlush Trigwnik¸n Susthmˆtwn EpÐlush Genik¸n Susthmˆtwn
EpÐlush Genik¸n Susthmˆtwn (m = n)
Gia na lÔsw (melet sw) èna genikì sÔsthma
I to metatrèpw se isodÔnamo trigwnikì
I lÔnw (melet¸) to trigwnikì
DÔo sust mata exis¸sewn eÐnai isodÔnama ann ìlec oi lÔseic tou
enìc eÐnai kai lÔseic tou ˆllou.
To sÔnolo twn lÔsewn enìc sust matoc den allˆzei an
I pollaplasiˆsw mia exÐsws tou me ènan mh-mhdenikì arijmì
13. EpÐlush Trigwnik¸n Susthmˆtwn EpÐlush Genik¸n Susthmˆtwn
EpÐlush Genik¸n Susthmˆtwn (m = n)
Gia na lÔsw (melet sw) èna genikì sÔsthma
I to metatrèpw se isodÔnamo trigwnikì
I lÔnw (melet¸) to trigwnikì
DÔo sust mata exis¸sewn eÐnai isodÔnama ann ìlec oi lÔseic tou
enìc eÐnai kai lÔseic tou ˆllou.
To sÔnolo twn lÔsewn enìc sust matoc den allˆzei an
I pollaplasiˆsw mia exÐsws tou me ènan mh-mhdenikì arijmì
I prosjèsw mia exÐswsh se mia ˆllh
I enallˆxw thn seirˆ dÔo exis¸sewn
15. EpÐlush Trigwnik¸n Susthmˆtwn EpÐlush Genik¸n Susthmˆtwn
To sÔnolo twn lÔsewn enìc grammikoÔ sust matoc exis¸sewn
paramènei analoÐwto an:
I Enallˆxoume thn seirˆ
twn exis¸sewn
I Pollaplasiˆsoume kˆpoia
exÐswsh me ènan arijmì
c6= 0
16. EpÐlush Trigwnik¸n Susthmˆtwn EpÐlush Genik¸n Susthmˆtwn
To sÔnolo twn lÔsewn enìc grammikoÔ sust matoc exis¸sewn
paramènei analoÐwto an:
I Enallˆxoume thn seirˆ
twn exis¸sewn
I Pollaplasiˆsoume kˆpoia
exÐswsh me ènan arijmì
c6= 0
I Antikatast soume mia
exÐswsh me ton eautì thc
sun to pollaplˆsio miac
ˆllhc exÐswshc
17. EpÐlush Trigwnik¸n Susthmˆtwn EpÐlush Genik¸n Susthmˆtwn
To sÔnolo twn lÔsewn enìc grammikoÔ sust matoc exis¸sewn
paramènei analoÐwto an:
I Enallˆxoume thn seirˆ
twn exis¸sewn
I Pollaplasiˆsoume kˆpoia
exÐswsh me ènan arijmì
c6= 0
I Antikatast soume mia
exÐswsh me ton eautì thc
sun to pollaplˆsio miac
ˆllhc exÐswshc
Prˆxeic:
I Enˆllaxe thn seirˆ dÔo
gramm¸n (enallag )
18. EpÐlush Trigwnik¸n Susthmˆtwn EpÐlush Genik¸n Susthmˆtwn
To sÔnolo twn lÔsewn enìc grammikoÔ sust matoc exis¸sewn
paramènei analoÐwto an:
I Enallˆxoume thn seirˆ
twn exis¸sewn
I Pollaplasiˆsoume kˆpoia
exÐswsh me ènan arijmì
c6= 0
I Antikatast soume mia
exÐswsh me ton eautì thc
sun to pollaplˆsio miac
ˆllhc exÐswshc
Prˆxeic:
I Enˆllaxe thn seirˆ dÔo
gramm¸n (enallag )
I Pollaplasiasmìc mia
gramm c me c6= 0
(stˆjmish)
19. EpÐlush Trigwnik¸n Susthmˆtwn EpÐlush Genik¸n Susthmˆtwn
To sÔnolo twn lÔsewn enìc grammikoÔ sust matoc exis¸sewn
paramènei analoÐwto an:
I Enallˆxoume thn seirˆ
twn exis¸sewn
I Pollaplasiˆsoume kˆpoia
exÐswsh me ènan arijmì
c6= 0
I Antikatast soume mia
exÐswsh me ton eautì thc
sun to pollaplˆsio miac
ˆllhc exÐswshc
Prˆxeic:
I Enˆllaxe thn seirˆ dÔo
gramm¸n (enallag )
I Pollaplasiasmìc mia
gramm c me c6= 0
(stˆjmish)
I Antikatˆstash mia
grammlhc me ton eautì
thc sun to pollaplˆsio
miac ˆllhc gramm c
(Antikatˆstash)
20. EpÐlush Trigwnik¸n Susthmˆtwn EpÐlush Genik¸n Susthmˆtwn
To sÔnolo twn lÔsewn enìc grammikoÔ sust matoc exis¸sewn
paramènei analoÐwto an:
I Enallˆxoume thn seirˆ
twn exis¸sewn
I Pollaplasiˆsoume kˆpoia
exÐswsh me ènan arijmì
c6= 0
I Antikatast soume mia
exÐswsh me ton eautì thc
sun to pollaplˆsio miac
ˆllhc exÐswshc
Prˆxeic:
I Enˆllaxe thn seirˆ dÔo
gramm¸n (enallag )
I Pollaplasiasmìc mia
gramm c me c6= 0
(stˆjmish)
I Antikatˆstash mia
grammlhc me ton eautì
thc sun to pollaplˆsio
miac ˆllhc gramm c
(Antikatˆstash)
stìqoc: QrhsimopoÐhse tic parapˆnw prˆxeic gia na aplopoi seic
to prìblhma.