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Name: ANSWER KEY
Math 20F - Linear Algebra - Winter 2003
Quiz #1 — January 14
1. Consider the following system of linear equations:
x
1
−
x
2
+3
x
3
+4
x
4
=5
x
2
−
x
4
=6
.
Is the system consistent?
YES
Is the system underdetermined?
YES
Is the system overdetermined?
NO
Is the system homogeneous?
NO
What is its solution set?
ANSWER:
Set
x
3
=
α
,
x
4
=
β
.
Solution set =
{
(11
−
3
α
−
3
β,
6+
β, α, β
):
α, β
∈
R
}
.
2. Consider the matrix
A
=
1234
1336
1310

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