ÒÎÐ 5 ñòàòåé: Ìåòîäè÷åñêèå ïîäõîäû ê àíàëèçó ôèíàíñîâîãî ñîñòîÿíèÿ ïðåäïðèÿòèÿ Ïðîáëåìà ïåðèîäèçàöèè ðóññêîé ëèòåðàòóðû ÕÕ âåêà. Êðàòêàÿ õàðàêòåðèñòèêà âòîðîé ïîëîâèíû ÕÕ âåêà Õàðàêòåðèñòèêà øëèôîâàëüíûõ êðóãîâ è åå ìàðêèðîâêà Ñëóæåáíûå ÷àñòè ðå÷è. Ïðåäëîã. Ñîþç. ×àñòèöû ÊÀÒÅÃÎÐÈÈ:
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Ýëåìåíòû ëèíåéíîé àëãåáðû. 41-50. Ðåøèòü ñèñòåìó óðàâíåíèé ïî ïðàâèëó Êðàìåðà.41-50. Ðåøèòü ñèñòåìó óðàâíåíèé ïî ïðàâèëó Êðàìåðà. 41. 3õ + 2ó + z = 5 5õ + 8ó – z = –7 42. õ + 2ó + 4z = 31 õ + 2ó + z = 4 à) 2õ + 3ó + z = 1 á) õ + 2ó + 3z = 1 à) 5õ +ó + 2z = 29 á) 3õ – 5ó + 3z = 1 2õ + ó + 3z = 11 2õ – 3ó + 2z = 9 3õ – ó + z = 10 2õ + 7ó – 7z = 8 43. 4õ – 3ó +2z = 9 3õ + 2ó + z = 5 44. 3õ – ó = 5 õ + 2ó + 4z = 31 à) 2õ + 5ó – 3z = 4 á) 2õ + 3ó + z = 1 à) –2õ + ó + z = 0 á) 5õ +ó + 2z = 29 5õ + 6ó – 2z = 18 2õ + ó + 3z = 11 2õ – ó + 4z = 15 3õ – ó + z = 10 45. 3õ – ó + z = 4 4õ – 3ó +2z = 9 46. 2õ – ó – 3z = 3 3õ – ó = 5 à) 2õ – 5ó – 3z = –17 á) 2õ + 5ó – 3z = 4 à) 3õ + 4ó – 5z = 8 á) –2õ + ó + z = 0 õ + ó – z = 0 5õ + 6ó – 2z = 18 2ó + 7z = 17 2õ – ó + 4z = 15 47. 3õ + 4ó + 2z = 8 õ + ó + 2z = – 1 48. 2õ + ó + 4z = 20 3õ – ó = 5 à) 2õ – ó – 3z = –1 á) 2õ – ó + 2z = – 4 à) 2õ – ó – 3z = 3 á) –2õ + ó + z =0 õ + 5ó + z = 0 4õ + ó + 4z = –2 3õ + 4ó – 5z = – 8 2õ – ó + 4z = 15 49. õ + 5ó – z = 7 3õ – ó + z = 4 50. 11õ + 3ó – z = 2 õ + ó + z = 2 à) 2õ – ó – z = 4 á) 2õ – 5ó – 3z = –17 à) 2õ + 5ó – 5z = 0 á) 2õ – ó – 6z = – 1 3õ – 2ó + 4z = 11 õ + ó – z = 0 õ + ó + z = 2 3õ – 2ó = 8
51-60. Íàéòè: à) îáðàòíóþ ìàòðèöó À-1 äëÿ ìàòðèöû À. Ïðîâåðèòü ðàâåíñòâî À · À-1 = À-1 · À = Å, ãäå Å – åäèíè÷íàÿ ìàòðèöà, á) ìàòðèöó D=AB-BA+A-1 +BT, çäåñü BT ïîëó÷àåòñÿ èç Â å¸ òðàíñïîíèðîâàíèåì. 1 2 –3 2 3 – 2 1 2 –3 2 3 –2 51. À = –1 –1 2, Â= 0 0 3 52. À = 0 1 2, Â= 1 2 3 2 4 –5 3 5 – 4 0 0 1 1 1 2 3 –4 5 4 – 3 6 1 2 2 2 3 3 53. À = 2 –3 1, Â= 3 – 2 2 54. À = 2 1 –2, Â= 3 2 –1 3 –5 –1 4 – 4 0 2 –2 1 3 –1 2 0 1 3 1 2 4 1 3 5 2 4 6 55. À = 2 3 5, Â= 3 4 6 56. À = 2 7 –8, Â= 3 8 –7 3 5 7 4 6 8 –1 –3 4 0 –2 5 1 2 –3 2 3 –2 5 3 1 6 4 2 57. À = 3 2 –4, Â= 4 3 –3 58. À = 1 –3 – 7, Â= 2 –2 –1 2 –1 0 3 0 1 –5 2 1 – 4 3 2 1 –2 –3 2 –1 –2 1 –2 2 2 –1 3 59. À = 1 –1 –2, Â= 2 0 –1 60. À = 2 –5 7, Â= 3 – 4 8 2 –3 –4 3 –2 –3 4 9 –10 5 10 –9
61-70. Ðåøèòü ñèñòåìû óðàâíåíèé äâóìÿ ñïîñîáàì: 1) ìåòîäîì Ãàóññà, 2) ñðåäñòâàìè ìàòðè÷íîãî èñ÷èñëåíèÿ. 61. 5õ + 8ó – z = – 7 62. õ + 2ó + z = 4 õ + 2ó + 3z = 1 3õ – 5ó + 3z = 1 2õ – 3ó + 2z = 9 2õ + 7ó – z = 8
63. 2õ – ó – z = 4 64. õ + ó + 2z = – 1 3õ + 4ó – 2z = 11 2õ – ó + 2z = – 4 3õ – 2ó + 4z = 11 4õ + ó + 4z = – 2 65. õ + ó + z = 2 66. 2õ + ó – z = 1 2õ – ó – 6z = – 1 õ + ó + z = 6 3õ – 2ó = 8 3õ – ó + z = 4
67. õ + 5ó + z = -7 68. õ – 2ó + 3z = 6 2õ – ó – z = 0 2õ + 3ó – 4z = 16 õ – 2ó – z = 2 3õ – 2ó – 5z = 12 69. 2õ – ó + 3z = 7 70. õ – ó = 4 õ + 3ó – 2z = 0 2õ + 3ó + z = 1 2ó – z = 2 2õ + ó + 3z = 11
Íå íàøëè, ÷òî èñêàëè? Âîñïîëüçóéòåñü ïîèñêîì:
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