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2.4. Ðàíã ìàòðèö³ ................................................. 58<br />
2.4.1. Îçíà÷åííÿ ..................................................... 58<br />
2.5. Îáåðíåíà ìàòðèöÿ .......................................... 62<br />
2.5.1. Îçíà÷åííÿ. Òåîðåìà ïðî îáåðíåíó ìàòðèöþ.................................................................<br />
62<br />
2.5.2. Àëãîðèòì îá÷èñëåííÿ îáåðíåíî¿ ìàòðèö³ ....... 63<br />
2.5.3. Âëàñòèâîñò³ íåâèðîäæåíèõ ìàòðèöü ................ 64<br />
Âïðàâè .................................................................... 65<br />
ÒÅÌÀ 3. ÑÈÑÒÅÌÈ Ë²Í²ÉÍÈÕ ÀËÃÅÁÐÀ¯×ÍÈÕ Ð²ÂÍßÍÜ<br />
3.1. Ïî÷àòêîâ³ çíàííÿ ïðî ñèñòåìè àëãåáðà¿÷íèõ<br />
ð³âíÿíü ................................................... 68<br />
3.1.1. Çîáðàæåííÿ ÑËÀÐ ......................................... 68<br />
3.1.2. Îñíîâí³ ïîíÿòòÿ ³ îçíà÷åííÿ ......................... 69<br />
3.2. Ñèñòåìà n ë³í³éíèõ àëãåáðà¿÷íèõ ð³âíÿíü<br />
ç n íåâ³äîìèìè ............................................. 71<br />
3.2.1. Ñèñòåìà äâîõ ð³âíÿíü ç äâîìà íåâ³äîìèìè<br />
................................................................. 71<br />
3.3. Ìåòîäè ðîçâ’ÿçóâàííÿ ñèñòåìè n àëãåáðà-<br />
¿÷íèõ ð³âíÿíü ç n íåâ³äîìèìè ....................... 72<br />
3.3.1. Ìàòðè÷íèé ìåòîä........................................... 72<br />
3.3.2. Ìåòîä âèçíà÷íèê³â (ïðàâèëî Êðàìåðà) ........... 73<br />
3.4. Ñèñòåìa m ë³í³éíèõ àëãåáðà¿÷íèõ ð³âíÿíü<br />
ç n íåâ³äîìèìè ............................................. 75<br />
3.5. Ìåòîä Ãàóññà ................................................ 76<br />
3.5.1. Ïðîáëåìè ...................................................... 76<br />
3.5.2. Àëãîðèòì ìåòîäó Ãàóññà................................ 77<br />
3.6. Ñèñòåìà ë³í³éíèõ îäíîð³äíèõ àëãåáðà¿÷íèõ<br />
ð³âíÿíü ................................................... 82<br />
3.6.1. Îçíà÷åííÿ ..................................................... 82<br />
3.6.2. Íåòðèâ³àëüí³ ðîçâ’ÿçêè îäíîð³äíî¿<br />
ñèñòåìè ë³í³éíèõ àëãåáðà¿÷íèõ ð³âíÿíü .......... 82<br />
Âïðàâè .................................................................... 83<br />
ÒÅÌÀ 4. ˲Ͳ¯ ÍÀ ÏËÎÙÈͲ ² Ó ÏÐÎÑÒÎв<br />
4.1. Ïðÿìîêóòí³ êîîðäèíàòè íà ïëîùèí³<br />
³ ¿õ íàéïðîñò³ø³ çàñòîñóâàííÿ ........................ 87<br />
4.1.1. Îçíà÷åííÿ ..................................................... 87<br />
4.1.2. ³äñòàíü ì³æ äâîìà òî÷êàìè íà ïëîùèí³ ...... 89<br />
4.1.3. ijëåííÿ â³äð³çêà â äàíîìó â³äíîøåíí³ ........... 90<br />
4.1.4. Ïëîùà òðèêóòíèêà ........................................ 92<br />
Âïðàâè .................................................................... 95<br />
4.2. Ìåòîä êîîðäèíàò íà ïëîùèí³ ......................... 95<br />
4.2.1. ˳í³ÿ ÿê ìíîæèíà òî÷îê ............................... 96<br />
4.2.2. гâíÿííÿ ë³í³¿ íà ïëîùèí³ ............................ 97<br />
4.2.3. Ïîáóäîâà ë³í³¿ çà ¿¿ ð³âíÿííÿì ................... 101<br />
4.2.4. Äåÿê³ åëåìåíòàðí³ çàäà÷³ ............................. 102<br />
Âïðàâè .................................................................. 104<br />
4.3. гâíÿííÿ ë³í³¿ ïåðøîãî ïîðÿäêó ................. 105<br />
4.3.1. гâíÿííÿ ïðÿìî¿ ç êóòîâèì êîåô³ö³ºíòîì ... 105<br />
4.3.2. Êóò ì³æ äâîìà ïðÿìèìè ............................. 108<br />
4.3.3. гâíÿííÿ ïðÿìî¿, ùî ïðîõîäèòü ÷åðåç<br />
äàíó òî÷êó â çàäàíîìó íàïðÿì³ ................... 111<br />
4.3.4. гâíÿííÿ ïðÿìî¿, ùî ïðîõîäèòü ÷åðåç äâ³<br />
äàí³ òî÷êè ................................................... 113<br />
4.3.5. Âçàºìíå ðîçòàøóâàííÿ äâîõ ïðÿìèõ ............ 115<br />
4.3.6. ³äñòàíü â³ä òî÷êè äî ïðÿìî¿ ...................... 117<br />
Âïðàâè .................................................................. 119<br />
4.4. Ë³í³¿ äðóãîãî ïîðÿäêó ................................. 122<br />
4.4.1. Åë³ïñ ........................................................... 123<br />
4.4.2. óïåðáîëà..................................................... 125<br />
4.4.3. Ïàðàáîëà ..................................................... 126<br />
Âïðàâè .................................................................. 127<br />
4.5. Ïîíÿòòÿ ïðî ð³âíÿííÿ ïëîùèíè ³ ïðÿìî¿<br />
ó ïðîñòîð³ ................................................... 128<br />
4.5.1. Çàãàëüíå ð³âíÿííÿ ïëîùèíè ........................ 128<br />
4.5.2. Ïðÿìà ë³í³ÿ ó ïðîñòîð³ ............................... 130<br />
4.6. Áþäæåòíà ìíîæèíà .................................... 130<br />
4.6.1. Ïðîáëåìíèé ïðèêëàä ................................... 130<br />
4.6.2. Ïîíÿòòÿ ³ îçíà÷åííÿ ................................... 132<br />
Âïðàâè .................................................................. 133<br />
ÒÅÌÀ 5. ÃÐÀÍÈÖ² ×ÈÑËÎÂÈÕ ÏÎÑ˲ÄÎÂÍÎÑÒÅÉ<br />
5.1. ×èñëîâ³ ïîñë³äîâíîñò³ òà àðèôìåòè÷í³ ä³¿<br />
íàä íèìè..................................................... 134<br />
5.1.1. Îçíà÷åííÿ ³ ïðèêëàäè ................................. 134<br />
5.1.2. Àðèôìåòè÷í³ îïåðàö³¿ íàä ïîñë³äîâíîñòÿìè<br />
.......................................................... 135<br />
5.1.3. Îáìåæåí³ òà íåîáìåæåí³ ïîñë³äîâíîñò³ ......... 135<br />
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