MATH 1104B
TEST 1
Sept 28, 2015
The test cannot be taken out from the examination room.
No calculators are allowed. Show your work.
Duration: 50 minutes
Total marks: 30
NAME:
STUDENT NO :
1 [8 Marks]
a) Two linear systems are equivalent if they have the same solution set.
Answer (circle one): TRUE FALSE
b) For any
n
m
matrix
A
, the matrix
T
AA
is always symmetric.
Answer (circle one): TRUE FALSE
c) If the augmented matrix [
A b
] in REF has a pivot position in every row, then the
equation
Ax
=
b
is inconsistent.
Answer (circle one): TRUE FALSE
d) The equation
Ax
=
b
is homogeneous if the zero vector is a solution.
Answer (circle one): TRUE FALSE
2. [8 Marks ]
Answer the following.
(Show your work
)
i)
[2 marks]
Let
4
3
2
1
A
and
8
7
6
5
B
. Find
A
B
4
.
ii)
[2 marks]
Let
4
3
2
1
A
and
8
7
6
5
B
. Find
AB
.
iii)
[2 marks]
Let
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 Fall '12
 Ahmad
 Linear Systems

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