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Math 136
Tutorial 4 Problems
1:
Let
A
=
12
3

1
21
,
B
=
±
31

1

1
²
,
C
=
±
3
4
²
.
Calculate the following or state that they don’t exist:
a)
AB
b)
CB
c)
C
T
A
T
.
2:
Let
S
=
{
(1
,
1
,

1)
,
(0
,
1
,

1)
,
(2
,

1
,
1)
,
(

1
,
2
,
3)
}
.
a) Write the system of linear equations we would need to solve if we wanted to determine
if
S
is linearly independent or dependent.
b) Just by looking at the system of linear equations, how can you tell that
S
must be
linearly dependent?
c) By solving the system, Fnd two linear combinations of the vectors in
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This note was uploaded on 04/30/2010 for the course MATH 136 taught by Professor All during the Winter '08 term at Waterloo.
 Winter '08
 All
 Linear Equations, Equations

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