Question
Asked Dec 3, 2019
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Solve using Gaussian method

2x+y+2z-4w=10

x+3y+2z-11w=17

3x+y+7z-21w=0

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Expert Answer

Step 1

Given:

The given equations are
2x y2z-w = 10
x3y 1w = 17
3xy7z-21lw 0
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The given equations are 2x y2z-w = 10 x3y 1w = 17 3xy7z-21lw 0

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Step 2

Solve the equation by using Gaussian method.

-4 10
21 2
3 2-1117
1
1 7-21 0
Find the pivot in the 1st column and swap the 2nd and the 1st rows
3 2 -1117
1
-4 10
2
1
2
-21 0
31 7
Eliminate the first column:
-11 17
1
3
2
R, R-2R
R R-3R
1824
0 -5
-2
0 -8 2
12-51
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-4 10 21 2 3 2-1117 1 1 7-21 0 Find the pivot in the 1st column and swap the 2nd and the 1st rows 3 2 -1117 1 -4 10 2 1 2 -21 0 31 7 Eliminate the first column: -11 17 1 3 2 R, R-2R R R-3R 1824 0 -5 -2 0 -8 2 12-51

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Step 3

Make the pivot in the 2nd column by dividing th...

2 -1117
1 3
18 24
2
1
5
0
5 5
12 51
0 -8
2
Eliminate the second column:
113
4
1 0
5
5
5
18 24
2
0 1
5
5
5
21
0 0
5
84
63
8
5
의n
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2 -1117 1 3 18 24 2 1 5 0 5 5 12 51 0 -8 2 Eliminate the second column: 113 4 1 0 5 5 5 18 24 2 0 1 5 5 5 21 0 0 5 84 63 8 5 의n

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