Індивідуальне завдання № 2.5
Студент повинен розв'язати одну з наведених нижче задач, вибравши її за своїм номером у журналі групи. Використовуючи I і II теореми Кронекера-Капеллі або метод Гаусса (див. п.2.20 на стор. 93) визначити системи лінійних алгебраїчних рівнянь на можливість розв'язання. Розв'язати сумісні СЛАР.
3 X' X2 2 X3 — 1, 2 X' + 4 x2 + 3 x3 = 5, 5 X' + 3 x2 + x3 = 2. X' 2 X2 + X3 — 1, 3X' + x2 + 2 x3 = 3, 2 X' + 3x2 + 2 x3 = 1. —2 X' + x2 + 3x3 = 4, X' 3x2 + 2X3 — 4, 3X' + x2 + 5x3 = 2. 3 X' — 4 x 2 + 2 x3 = 1, 2 X' + 3 x 2 + x3 = 3, 4 X' — 5 x 2 + 3 x3 = 1. —X' + 3x2 +11x3 = 2, —5X' + 5x2 + 2x3 = 1,
X' + X2 + X3 — 2. 2Xj + 4x2 + 3x3 = 7, —3Xj + x2 + 2x3 = 1, X' + 5x2 + x3 =—1. 3X' + x2 + 2x3 = 1, X' + 2X2 X3 — 2, 2X' + 3x2 + x3 = 3. —X' + 3x2 — 2x3 = 2, 3X' + X2 + 5X3 — 1, 2X' + 4x2 + 3x3 = 3. 3X' — 4x2 + 2x3 = 1,
2 X' 3x2 X3 — 2, ■ x2 + 3x3 X' X2 X3 —X' + 3x2 + 11x3 = 3, X' + 5x2 + 13x3 = 5. X' + 5x2 + X3 — 1, 2X' + 4x2 + 3x3 = 5, 3X' + 9x2 + 4x3 = б.
2X' + 3x2 + 2x3 = 2, 3X' + x2 + 2x3 = 1, 5x + 4x + 4x = 5. 3, X' 3x2 + 2X3 — 3, 4x — 2x + 7x = 2. 2X' + 3x2 + x3 = 1, X' — 5x2 + 3x3 = 1, 8X' + x2 + 5x3 = 1. X' — 3x2 — 11x3 = 1, X' X2 X3 — 3, 3x — x2 — 9x = 4. 2x1 2x2 + X3 — З, -2x1 + x2 + x3 — 1, X1 X2 + X3 — 2. X1 2X2 2X3 — 3,
X1 + X2 2X3 — 1, X1 X2 2x1 - 3x2 + 4x3 — 1, 3X1 + X2 - 5x3 —-4, 5X1 2X2 X3 — 3 * x1 - 2x2 + x3 —10, 2x1 + x2 + 3x3 — 8, 2x1 + 3x2 + 2x3 — -2. 3x1 + 2x2 + x3 — 2, 2X1 X2 2X3 — 1, 5X1 + X2 X3 — 1.
2 x1 + 3x2 + 4 x3 — 5, 3x1 + 4x2 - x3 — 3, 4x + 5x - 2X — 8. 3X1 + X2 X3 — 2X1 X2 3X3 5x - 4x — 1. 3x1 + x2 - 2x3 — 4, 5X1 + X2 + 3X3 — 2, 8x1 + 2x2 + x3 — 6. 2 X1 X2 + 3X3 — 4, x1 + 3x2 - x3 — 2, 5x1 + 2x2 + x3 — 5. 3x1 - 2 x2 + 4 x3 — 5, 2 X1 X2 X3 — 4, x1 + 5x2 - x3 — 2.
3x1 + 4x2 - 4x3 — 5, 2 x1 + x2 + 4x3 — 3, 5x1 + 5x2 - x3 — 0. 7 x1 + 5 x2 + 2 x3 — 9, X3 — 3, x1 + x2 + 2 x3 — 2. -2x1 + x2 + x3 — 2, X1 + X2 X3 — 1, -x1 + 2x2 — 3. X1 X2 X3 — 2, x1 + x2 - 2x3 — 1, 31 + x2 - 5x3 — 4. 3x1 + x2 - 5x3 — 5, 2x1 - 3x2 + 4x3 —-1, 5x1 - x2 + 3x3 — 1. 2x1 + x2 + 3x3 — 6, 2x1 + 3x2 + 2x3 — -3, 4x1 + 4x2 + 5x3 — 3. 2X1 X2 2X3 — 1, 3x1 + 2x2 + x3 — 1, 2x1 + 3x2 + 3x3 — 2. 3x1 + 4x2 - x3 — 2, 2 x1 + 3x2 + 4 x3 — 3, 5 x1 + 7 x2 + 3x3 — 5. 2X1 X2 3X3 — 2, 3X1 + X2 X3 — 1, 5x1 - 4x3 — 1. 3x1 + x2 - 2 x3 — 4, 2X1 3x2 + X3 — 9, 5x1 + x2 + 3x3 — -4. 2 X1 X2 + 3X3 — 4, X1 + 3x2 X3 — 3, 4x1 + 5x2 + x3 —10. X1 5 X2 X3 — 2, 3x1 - 2 x2 + 4 x3 — 5, 4x1 + x2 + 3 x3 — 7. 2x1 + x2 + 4 x3 — 7, 3x1 + 4x2 - 5x3 — -8, 5x1 + 5x2 - x3 —-1. X1 X2 X3 — 3, x1 + x2 + 2 x3 — 2, 2 x + x — 5. 8X1 5x2 X3 — 5, 4X1 + X2 + 5X3 — 3, 4x1 - 4x2 + 43 — 8. 2X1 X2 X3 — 1, X1 X2 + X3 — 3, X1 - 2x2 — 5. X1 2X2 2X3 — 2, X1 X2 X3 — 0, 3x1 - 4x2 - 4x3 — 5. 2x1 - 3x2 + 4x3 — 0, 5x1 - x2 + 3x3 — 2, 7x1 - 4x2 + 7x3 — 1. 2 x1 + 3x2 + 2 x3 — -1, x1 - 2 x2 + x3 — 8, 3x1 + x2 + 3x3 — 5. 2x1 + 3x2 + 3x3 — 2, 3x1 + 2x2 + x3 — -1, -x1 + x2 + 2x3 — 1. 4x1 + 5x2 - 2x3 — 3, 2 x1 + 3 x2 + 4 x3 — 4, 6 x1 + 8 x2 + 2 x3 — 1. 2 X1 X2 3X3 — 9, x1 + 2 x2 + x3 — 3, 3x1 + x2 - x3 — 2. 2 x1 - 3x2 + x3 — 9, 3x1 + x2 - 2x3 — 4 5X1 2 X2 X3 — 3. 5 x1 + 2 x2 + x3 — 5, 2 x1 - x2 + 3x3 — 2, 7 x1 + x2 + 4x3 — 3. 2 X1 X2 X3 — 4, X1 5 X2 X3 — 2, 3x1 + 4x2 - 2x3 — 0. 2 x1 + x2 + 4 x3 — 7, 2 X1 X2 3 X3 — 3, 3x + 4x2 - 5x3 —-8. x1 + x2 + 2 x3 — 2, 7 x1 + 5 x2 + 2 x3 — 9, 8x1 + 6 x2 + 4 x3 — 5. 4X1 + X2 + 5X3 — 3, 8X1 5x2 X3 — 4, 4x1 - 4x2 + 4x3 — 3. 3X' 2X2 5X3 — 2, 4X' + 2x2 = 3, X' + x2 + 2x3 = —3. 2X' + x2 + 4x3 = 5, 3X' + 4x2 — 5x3 = 2, 5X' + 5x2 — x3 = б. X' + 5x2 X3 — 7, 2X' X2 X3 — 5, 3X' 2x2 + 4X3 — 7. X' + X2 2X3 — 1, X' 2 X2 2 X3 — 3, 2 X' — 5x2 — 4x3 = 4. 7 X' + 5 x2 + 2 x3 = 14, X1 X2 X3 = —1, X' + x2 + 2 x3 = 4. 2 X' X2 X3 — 2, X' + x2 + x3 = б, 3X' — x2 + x3 = 4. '3 X' + 4 x2 + 2 x3 = 8, 2 X' X2 3 X3 — 1, X' + 5 x2 + x3 = б. 2 X' — x2 + 2 x3 = —4, X' + x2 + 2 x3 = —1, X1 — 2 X2 =—3. X' + x2 + x3 = 2, 2 X' — x2 — б x3 = —1, 3X' — 2 x2 = 8. x' + 5 x2 + x3 = 0, 3 x' + 4 x2 + 2 x3 = 8, 2 x' + x2 x3 = 5. 2 X' — X2 — X3 = 0, X' + 5 X2 + X3 = —7, X' — 2 X2 — X3 = 2. 3X' — X2 + 5 X3 = 7, X' + 2 X2 + 3 X3 = б, 2 X' — 3 X2 + 2 X3 = 1. 2 x' x2 x3 = 4,
3 x' + 4 x2 — 2 x3 = 11, 3x' — 2 x2 + 4 x3 = 11. 4X' + 2x2 = 3, 3X' 2X2 5X3 — 2, X' + 5X3 — 1. 2 X' X2 3 X3 — 3, 2X' + x2 + 4 x3 = 7, 4 X' + x3 = 10. 2X' X2 X3 — 3, X' 5x2 X3 — 5, 3X' + 4x2 — 2x3 = 8. X' 2 X2 2X3 — 3, X' + x2 — 2x3 = 0, X1 — X2 — X3 = ' 7X' + 5 x2 + 2 x3 = 14, X' X2 X3 — 1, 8X' + 4 x2 + x3 = 13. X' + x2 + x3 = б, 3X' — x2 + x3 = 4, 4X' + 2 x2 = 10. 3X' + 4 x2 + 2 x3 = 8, X' + 5 x2 + x3 = б, 2 X' — x2 + x3 = 2. X' + x2 + 2 x3 = —1, 2 X' — x2 + 2 x3 = —4, 4 X' + x2 + 4 x3 = —2. 3 X' — 2 x2 = 8, X' + x2 + x3 = 2, 2 X' — 3 x2 — x3 = б. 3 x' + 4 x2 + 2 x3 = 8, 2 x' x2 3 x3 = 1, x' + 5 x2 + x3 = 0. X' + 5 X2 + X3 = —7, 2 X' — X2 — 3 X3 = 0, 3x' + 4 X2 = 2. 5X' + 8 X2 — X3 = 12, X' + 2 X2 + 3 X3 = б, 2 X' — 3 X2 + 2 X3 = 1. 3X' — 2 X2 + 4 X3 = 11, 2 X' — X2 — X3 = 4, X' — x 2 + 5 X3 = 7. X' X2 2X3 — 3, 3X' 2x2 5X3 — 2, 4X' 3x2 3X3 — 7. 2X' h x2 h 4x3 = 7, 2 X' X2 3 X3 — 3, 3X' h 4x2 — 5x3 = 2. 3X' 2X2 h 4X3 — 5, X' h 5x2 X3 — 7, 2 X' — 7 x2 h 5x3 = 1. X' X2 X3 — 2, X' h x2 — 2x3 = 0, 2X' 3X3 — 5. 2 X' 2 X2 2 X3 — 3, X' h x2 h 2x3 = 4, 3X' — x2 = 5. 3X' X2 — 4, 2 X' X2 — 2, xi — 2 X2 = 2 X' X2 3 X3 — 1, 3X' h 4x2 h 2x3 = 8, 5X' h 3x2 — x3 = 2. 2X' — x2 h 2x3 = —4, 4X' h x2 h 4x3 = —2, —2 X' — 2 x2 — 2 x3 = —8. 2 X' — x2 — б x3 = —1, 3X' — 2 x2 = 8, —X' h x2 — бx3 = 5. 2 X' X2 3 X3 = 1, 3X' h 4X2 h 2X3 = 8, 5 X' h 3 X2 X3 = 7. X' — 2 X2 — X3 = 2, X' h 5X2 h X3 = —7, 2 X' h 3 X2 = — 5. X' h 2X2 h 3X3 = б, 2 X' 3 X2 h 2 X3 = 1, 3X' — X2 h 5 X3 = 2. 2X' X2 X3 = 4, 3 X' h 4 X2 — 2 X3 = 11, 5 X' h 3 X2 3 X3 = 7.
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