Quiz4mt210Sample1Ans

35 views1 pages
Published on 31 Jan 2019
School
Boston College
Department
Mathematics
Course
MATH 2211
Professor
MT Q  S 
İ S. Y
F , 
Surname, Name:
Q . §. S S  L S
A) Find the solution set of the linear system in the parametric-vector form:
4x1+x2+ 3x3= 1
x17x22x3=1
5x16x2+x3= 0
B) Find the solution set of the homogeneous system
4x1+x2+ 3x3= 0
x17x22x3= 0
5x16x2+x3= 0
A.
A.
4 1 3 1
1721
56 1 0
4R2+R1R1
5R2+R3R3
//
0 29 11 5
1721
0 29 11 5
1R1+R3R3
R2R1
//
172 0
0 29 11 1
0 0 0 0
172 0
0 29 11 1
0 0 0 0
(1/29)R2R2
//
172 0
0 1 11/29 1/29
0 0 0 0
7R2+R1R1
R2R1
//
1 0 19/29 7/29
0 1 11/29 1/29
0 0 0 0
P.V .F . =
p+vh=
7/29
1/29
0
+x3
19/29
11/29
1
:x3R
B.
P.V .F .H. =
vh=x3
19/29
11/29
1
:x3R
1
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