Quiz3mt210Sample2Spr11

8 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 general solution of the homogeneous system:
2x1+x2+x3x4= 0
x1+ 2x2x3+ 3x4= 0
3x1+ 3x2+ 2x4= 0
B) Verify that p=
1
1
1
1
is a particular solution for the nonhomogeneous
system Ax=bwhere Ais the coefficient matrix of the homogeneous system
in part (A) and b=
3
5
8
.
C) Write the solution set for the nonhomogeneous system Ax=bin the
parametric-vector form.
1
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Document Summary

1. 5 solution sets of linear systems: find the general solution of the homogeneous system: 2x1 + x2 + x3 x4 = 0 x1 + 2x2 x3 + 3x4 = 0. 3x1 + 3x2 is a particular solution for the nonhomogeneous system ax = b where a is the coe cient matrix of the homogeneous system: verify that p = in part (a) and b = . 8: write the solution set for the nonhomogeneous system ax = b in the parametric-vector form.