MATH V2010 Columbia S11Exam1 LinearAlgebra S11

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Published on 31 Jan 2019
School
Columbia University
Department
Mathematics
Course
MATH V2010
Professor
Exam 1
Linear Algebra, Dave Bayer, February 15, 2011
Name:
[1] (5 pts) [2] (5 pts) [3] (5 pts) [4] (5 pts) [5] (5 pts) [6] (5 pts) TOTAL
Please work only one problem per page, starting with the pages provided. Clearly label your
answer. If a problem continues on a new page, clearly state this fact on both the old and the new
pages.
[1] What is the set of all solutions to the following system of equations?
3 1 1
2 1 1
2 0 1
x
y
z
=
8
7
5
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[2] What is the set of all solutions to the following system of equations?
011509
001305
000016
u
v
w
x
y
z
=
5
3
4
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