È. Â. Ïðîñêóðÿêîâ

ÑÁÎÐÍÈÊ ÇÀÄÀ× ÏÎ ËÈÍÅÉÍÎÉ ÀËÃÅÁÐÅ

 

Îòäåë I. Îïðåäåëèòåëè

§ 1. Îïðåäåëèòåëè 2-ãî è 3-ãî ïîðÿäêà                                                     Proskur_1. pdf

§ 2. Ïåðåñòàíîâêè è ïîäñòàíîâêè                                                              Proskur_2. pdf

§ 3. Îïðåäåëåíèå è ïðîñòåéøèå ñâîéñòâà îïðåäåëèòåëåé ëþáîãî ïîðÿäêà                          Proskur_3. pdf

§ 4. Âû÷èñëåíèå îïðåäåëèòåëåé ñ ÷èñëîâûìè ýëåìåíòàìè                 Proskur_4. pdf

§ 5. Ìåòîäû âû÷èñëåíèÿ îïðåäåëèòåëåé n-ãî ïîðÿäêà                         Proskur_5. pdf

§ á . Ìèíîðû , àëãåáðàè÷åñêèå äîïîëíåíèÿ è òåîðåìà Ëàïëàñà        Proskur_6. pdf

§ 7. Óìíîæåíèå îïðåäåëèòåëåé                                                                  Proskur_7. pdf

§ 8. Ðàçëè÷íûå çàäà÷è                                                                                 Proskur_8. pdf

ÎÒÂÅÒÛ Îòäåë I. Îïðåäåëèòåëè     Proskur_otv1-1. pdf

Proskur_otv1-2. pdf

Îòäåë II. Ñèñòåìû ëèíåéíûõ óðàâíåíèé                                                

§ 9. Ñèñòåìû óðàâíåíèé, ðåøàåìûå ïî ïðàâèëó Êðàìåðà                   Proskur_9. pdf

§ 10. Ðàíã ìàòðèöû . Ëèíåéíàÿ çàâèñèìîñòü âåêòîðîâ è ëèíåéíûõ ôîðì                             Proskur_10. pdf

§ 11 . Ñèñòåìû ëèíåéíûõ óðàâíåíèé                                                         Proskur_1.1 pdf

ÎÒÂÅÒÛ Îòäåë II. Ñèñòåìû ëèíåéíûõ óðàâíåíèé                                 Proskur_1. pdf

Îòäåë III. Ìàòðèöû è êâàäðàòè÷íûå ôîðìû                                       

§ 12. Äåéñòâèÿ ñ ìàòðèöàìè                                                                       Proskur_12-1. pdf Proskur_12-2. pdf

§ 13. Ïîëèíîìèàëüíûå ìàòðèöû                                                                Proskur_13. Pdf

§ 14. Ïîäîáíûå ìàòðèöû. Õàðàêòåðèñòè÷åñêèé è ìèíèìàëüíûé ìíîãî÷ëåíû. Æîðäàíîâà è äèàãîíàëüíàÿ ôîðìû ìàòðèöû. Ôóíêöèè îò ìàòðèö                                                                                        Proskur_14. Pdf

§ 15. Êâàäðàòè÷íûå ôîðìû                                                                        Proskur_15. Pdf

ÎÒÂÅÒÛ Îòäåë III. Ìàòðèöû è êâàäðàòè÷íûå ôîðìû   Proskur_otv3-1. pdf

Proskur_otv3-2. pdf

Proskur_otv3-3. pdf

Îòäåë IV. Âåêòîðíûå ïðîñòðàíñòâà è èõ ëèíåéíûå ïðåîáðàçîâàíèÿ                              

§ 16. Àôôèííûå âåêòîðíûå ïðîñòðàíñòâà                                             Proskur_16. pdf

§ 17. Åâêëèäîâû è óíèòàðíûå ïðîñòðàíñòâà                                           Proskur_17. pdf

§ 18. Ëèíåéíûå ïðåîáðàçîâàíèÿ ïðîèçâîëüíûõ âåêòîðíûõ ïðîñòðàíñòâ                              Proskur_18. pdf

§ 1 9. Ëèíåéíûå ïðåîáðàçîâàíèÿ åâêëèäîâûõ è óíèòàðíûõ âåêòîðíûõ ïðîñòðàíñòâ          Proskur_19. pdf

ÎÒÂÅÒÛ Îòäåë IV. Âåêòîðíûå ïðîñòðàíñòâà è èõ ëèíåéíûå ïðåîáðàçîâàíèÿ        Proskur_otv4-1. pdf

Proskur_otv4-2. pdf

Äîïîëíåíèå                                                                                                                           

§ 20. Ãðóïïû                                                                                                    Proskur_20. pdf

§ 21. Êîëüöà è ïîëÿ                                                                                       Proskur_21. pdf

§ 22. Ìîäóëè                                                                                                   Proskur_22. pdf

§ 23. Ëèíåéíûå ïðîñòðàíñòâà è ëèíåéíûå ïðåîáðàçîâàíèÿ (ê ïàðàãðàôàì 10, 16-19)       Proskur_23. pdf

§ 24. Ëèíåéíûå, áèëèíåéíûå è êâàäðàòè÷íûå ôóíêöèè è ôîðìû (ê ïàðàãðàôó 15)              Proskur_24. pdf

§ 25. Àôôèííûå (òî÷å÷íî-âåêòîðíûå ) ïðîñòðàíñòâà                          Proskur_25. pdf

§ 26. Òåíçîðíàÿ àëãåáðà                                                                              Proskur_26. pdf

ÎÒÂÅÒÛ Äîïîëíåíèå                                                                                                             Proskur_otv_dop-1.pdf Proskur_otv_dop-2.pdf

 

 

 

 

ÎÒÂÅÒÛ