Civil Engineering Reference
In-Depth Information
Table 2.4.
Example 2.7 Gaussian elimination
1
1
1
1
10
A|C
=
8
4
2
1
26
−1
1
−1
1
2
0
0
0
1
4
1
1
1
1
10
A|C
=
0
−4
−6
−7
−54
−8
0
2
0
2
12
1
0
0
0
1
4
0
1
1
1
1
10
A|C
=
0
−4
−6
−7
−54
0
0
−3
−1.5
−15
0.5
0
0
0
1
4
0
1
1
1
1
10
A|C
=
0
−4
−6
−7
−54
0
0
−3
−1.5
−15
0
0
0
1
4
0
x
=
1
2
3
4
From row three, the following equation is valid:
−− =−
315
x
.
x
15
3
4
Substituting
x
4
=
4 into this equation yields:
−−
()
=− ∴− =−∴=
3154 15
x
.
3
x
9
x
3
3
3
3
Row two produces the following equation:
−−−=−
467
x
x
x
54
2
3
4
Substituting
x
3
=
3 and
x
4
=
4 into this equation yields:
−−
()
−
()
=− ∴− =−∴=
4637444 8
x
x
x
2
2
2
2
