Using the algorithm in Gaussian elimination to solve the system of equations, identify the values of the highlighted letters. The first empty matrix is for the augmented matrix. Hint: All missing terms are positive integers. a + 3b + 6c – 5d + 8e = 8 3a + 2b + 4c + 6d – 4e = 3 2a + 4b – 2c + 6d – 2e = 10 -2a + b + 9c + 5d – 4e = 5 5a + b + 4c + 6d + 9e = 12

Advanced Engineering Mathematics
10th Edition
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Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Using the algorithm in Gaussian elimination to solve the system of equations, identify the values
of the highlighted letters. The first empty matrix is for the augmented matrix. Hint: All missing
terms are positive integers.
a + 3b + 6c – 5d + 8e = 8
3a + 2b + 4c + 6d – 4e = 3
2a + 4b – 2c + 6d – 2e = 10
-2a + b + 9c + 5d – 4e = 5
5a + b + 4c + 6d + 9e = 12
1
3
-5
8
A
6.
-5
8
:
B-
4
6.
-4
:
3
-7
-14
21
-28
-21
4
-2
2
:
10
-2
-14
16
-18
:
-6
-2
1
9
-4
:
5
C
21
-5
12
:
D
1
4
6.
9.
12-
-14
-26
31
-31
-28
:
:
1
4
-4
:
-1-
4
-4
:
-1
-3
E
:
3
1
-1
I
:
3
-10
10
-10
:
1
-1
7
F
-16
:
K
-23
:
-11
H
:
14-
-0-
-9
L.
:
14-
:
-1
0.
0.
:
1
M
:
3
1
:
1
:
1
0.
:
1
-1
:
1
LO
0 0
:
14
1
:
R-
10PO
- .. .
O O O C
100 O O
1 O O O
.... .. ..
. .. .. ..
O2O 7G
010
100 O0
Transcribed Image Text:Using the algorithm in Gaussian elimination to solve the system of equations, identify the values of the highlighted letters. The first empty matrix is for the augmented matrix. Hint: All missing terms are positive integers. a + 3b + 6c – 5d + 8e = 8 3a + 2b + 4c + 6d – 4e = 3 2a + 4b – 2c + 6d – 2e = 10 -2a + b + 9c + 5d – 4e = 5 5a + b + 4c + 6d + 9e = 12 1 3 -5 8 A 6. -5 8 : B- 4 6. -4 : 3 -7 -14 21 -28 -21 4 -2 2 : 10 -2 -14 16 -18 : -6 -2 1 9 -4 : 5 C 21 -5 12 : D 1 4 6. 9. 12- -14 -26 31 -31 -28 : : 1 4 -4 : -1- 4 -4 : -1 -3 E : 3 1 -1 I : 3 -10 10 -10 : 1 -1 7 F -16 : K -23 : -11 H : 14- -0- -9 L. : 14- : -1 0. 0. : 1 M : 3 1 : 1 : 1 0. : 1 -1 : 1 LO 0 0 : 14 1 : R- 10PO - .. . O O O C 100 O O 1 O O O .... .. .. . .. .. .. O2O 7G 010 100 O0
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