This preview shows page 1. Sign up to view the full content.
Math 136
Assignment 2
Due: Wednesday, Jan 19th
1.
Determine, with proof, which of the following are subspaces of
R
3
and which are not.
a
)
S
1
=
±
~x
∈
R
3

x
1

x
2
=
x
3
²
b
)
S
2
=
1
a
b

a,b
∈
R
c
)
S
3
=
0
0
0
d
)
S
4
=
0
0
0
,
1
2
3
2.
Let
~v
1
,...,~v
k
be vectors in
R
n
.
a) Prove that span
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 07/16/2011 for the course MATH 136 taught by Professor All during the Spring '08 term at Waterloo.
 Spring '08
 All
 Math

Click to edit the document details