Інтел_системи 2 лаба / Лекция 9 / Метод Гаусса
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(4- ) !
p1+8p2+6p3 = y 2p1+2p2+5p3 = y 3p1+2p2+2p3 = y p1+p2+p3 = 1
p1+8p2+6p3 – y = 0 2p1+2p2+5p3 – y= 0 3p1+2p2+2p3 – y = 0 p1+p2+p3 – 0y = 1
+ 2,3,4 2,3,1
#
p1+ 8p2 + 6p3 – y = 0 -14p2 – 7p3 + 1y= 0
-22p2– 16p3 + 5y = 0 -7p2 – 5p3 + 1y = 1
*
22/14 1/2
p1+ 2p2 + 3p3 – y = 0 -14p2 – 22p3 + 1y= 0
–5p3 + 48/14y = 0 -3/2p3 - 1/2y = 1
*
3/10
(-5*3/35 = -15/35 = 3/7) (3/2 * 3/35 = 9/70)
p1+ 2p2 + 3p3 – y = 0 -14p2 – 22p3 + 7y= 0
–5p3 + 48/14y = 0 26/70y = 1
- y = 70/26 = 35/13 = 2 9/13 = 2,6923076923076923076923076923077
& p3 = 3/13 = 0,23076923076923076923076923076923 p2 = 1/13 = 0,076923076923076923076923076923077
p1 = 9/13 = 0,69230769230769230769230769230769
(4- )
q1+2q2+3q3 = y 8q1+2q2+2q3 = y 6q1+5q2+2q3 = y q1+q2+q3 = 1
q1+2q2+3q3 – y = 0 8q1+2q2+2q3 – y= 0 6q1+5q2+2q3 – y = 0 q1+q2+q3 – 0y = 1
+ 2,3,4 8,6,1
#
q1+ 2q2 + 3q3 – y = 0
-14q2 |
– 22q3 |
+ 7y= 0 |
-7q2– 16q3 |
+ 5y = 0 |
|
-1q2 |
– 2q3 |
+ 1y = 1 |
*
1/2 1/14
q1+ 2q2 + 3q3 – y = 0 -14q2 – 22q3 + 7y= 0
–5q3 + 1,5y = 0 -3/7q3 + 1/2y = 1
*
3/35
(-5*3/35 = -15/35 = 3/7) (3/2 * 3/35 = 9/70)
q1+ 2q2 + 3q3 – y = 0 -14q2 – 22q3 + 7y= 0
–5q3 + 1,5y = 0 26/70y = 1
- y = 70/26 = 35/13 = 2 9/13 = 2,6923076923076923076923076923077 & q3 = 105/26 / 5 = 21/26 = 0,80769230769230769230769230769231
q2 = (245/13 - 462/26 ) / 14 = 14/13 / 14 = 1/13 = 0,076923076923076923076923076923077
q1 = 35/13 – 63/26 – 2/13 = 70/26 – 63/26 – 4/26 = 3/26 = 0,11538461538461538461538461538462