Which augmented matrix
represents the following system of
equations?
3 y  4 x  11
2.
1 6 8 


 3 4 11
0%
0%
0%
4
0%
3
4.
0 6 8 


 4 3 11
2
3.
1 6 8 


 4 3 11
x  6y  8
1
1.
0 6 8 


 3 4 11
Which matrix represents the
following system of equations?
x 3
1.
1 3 


1 4 
y  4
2.
1 0 3 


 0 1 4
0%
0%
0%
3
1 7
2
1
1
3.
An ice skating rink does not list their prices. I paid
£22.25 for 2 children and 3 adults. The group in front of
me paid £20.50 for 5 children and 1 adults. Which
system of equations would allow us to determine the
prices for children and adults
1. 2x + 5y = 22.25
3x + y = 20.50
2. 2x + 3y = 22.25
5x + y = 20.50
3. 22.25x + 20.50y = 42.75
5x + 6y = 11
4. (22.25/2)x + (22.25/3)y = 0
(20.50/5)x + (20.50)y = 0
0%
0%
0%
0%
What is the solution to the following
system of equations?
2x + 2y = 4
x – y = -6
1.
2.
3.
4.
5.
x=½ and y=-¼
x=2 and y=¼
x=-2 and y=4
x=2 and y=-4
There are an infinite
number of solutions
6. There are no solutions
0%
0%
0%
0%
1
2
3
4
0%
0%
5
6
What is the solution to the following
system of equations?
4x + 2y = 6
-16x - 8y = 12
1.
2.
3.
4.
5.
x=3/2 and y=0
x=-1/2 and y=4
x=0 and y=3
x=3 and y=-3
There are an infinite
number of solutions
6. There are no solutions
0%
1
0%
0%
0%
2
3
4
0%
0%
5
6
Which of the following matrices has
an inverse?
1.
3 6


1 2
2.
0%
0%
4
0%
3
0%
2
4.
12 3 


 8 2
1
3.
7 9


 1 2
 8 2


4 1
1.
Which of the following matrices
does not have an inverse?
 4 2


1 1
3.
 0 3


 2 1
2.
4 1


 8 2
4.
7 8


 3 4
5. More thanone of theabove
0%
0%
6
0%
4
0%
3
All have inverses
1
6.
0%
2
0%
5
do not haveinverses
Let
3  2
A= 
 .
1 2 
1.
What is the value of
A-1?
1  2 2


4  1 3 
2.
4.
0%
0%
0%
4
0%
3
1  3 2


8  1 2 
2
1  2 2


8  1 3 
1
3.
1  3 2


4  1 2 
0 7 
1
. Whatis A ?
Let A  
2 0 
1.
4.
1

2
0 

0%
0%
0%
0%
4

0

 1
7
3
 0  2


 7 0 
 0 2


7 0
2
3.
2.
1
 0  7


 2 0 
 5  1

 .
3 2 
3
Calculate
1.
15  3 


9 6 
3.
2.
 89  36


108  19 
125  1


 27 8 
4.
0%
4
0%
3
0%
2
0%
1
125 1 


 27 8 
4

1

 5 4


 3 1
2

2

Let A=
and B=
.
What is the value of AB?
0%
0%
0%
4
0%
3
4.
14  1


18 6 
2
3.
 9 6


  2 3
2.
 14 18


 1 6 
1
1.
 24 18 


  11  4 
3

5

 1
  5 3 



-1
A =
1

2

2
Let A=
and
.
Use this information to solve
3x+y=5
5x+2y=9
What is the value of x?
-3
0%
x=
1
0%
x=
0%
0
2
0%
x=
x=2
x=0
x=1
x=-3
x=
1.
2.
3.
4.
If A is a 3x4 matrix and B is a 4x2
matrix, then what is the size of AB?
3x2
4x4
2x3
None of these
0%
e
3
0%
N
on
e
of
th
es
2x
4
0%
4x
2
0%
3x
1.
2.
3.
4.
3
 
  2
The point
is transformed by the
  2 1
matrix 
 . Which is its new position?
 3
2
1.
4.
0%
0%
0%
0%
4
1 4 


1 0 
3
0
 
 1
  6  2


 9  4
2
3.
2.
1
  8
 
5
  2 6
2 4 
 and B  
 . Calculate AB .
Let A  
 1 3
11  5 
1.
 35  11


 62  38
2.
 62  38


 35  11
3.
0%
3
0%
2
0%
1
  4 24 


 11  15
Let A=
 2 4 1 


 3 2  6
 1 3 1 


and B=
 4 1 



1
2


 2  3


. Find the
element in row 2, column 1 of the
product matrix AB.
Given two matrices A and B, what must
be true about their sizes in order to
calculate the matrix product AB?
1. A and B must have the
same number of rows
2. A must have as many
rows as B has columns
3. A must have as many
columns as B has rows
0%
1
0%
2
0%
3
2.
0%
0%
0%
0%
4
 0 1  2


3
3
9 

3.
 7 1

7

1  7 
 7


3
4 
 9
  2  1 0  4.

  1 3 1 


 7 4 0 
 7 9  2


3
 7 4 0 


 1 3  1
 7 9 2


2
1.
,what is AT?
1
If A=
 7 9  2


 1 3 1 
 7 4 0 


Let A=
  2 0 3


 4 1 7 
 3

8
6


. Calculate tr(A).
Which of the following is an identity
matrix?
1.
4.
0%
0%
0%
0%
4
1 0


0 1
3
1 1


1 1
 0 0


 0 0
2
3.
2.
1
0 1


1 0
Which of the following is a
symmetric matrix?
1.
 1 4  8


 4 3 7 
  8 7  2


0%
0%
0%
4
0%
3
4.
4 7 


 1  3
2
 2 1  3


 1 3 6 
3 6 4


1
3.
2.
 1  2


2 1 
Which of the following relations
shows that matrix addition is
commutative?
1. A+B=B+A
2. A+(B+C)=(A+B)+C
3. k(A+B)=kA+kB
A+
kB
A+
B)
=k
+(
B+
C)
=(
A
A
0%
k(
+A
=B
+B
A
0%
+B
)+
C
0%
1.
  2 6
2 4

 and B  
Let A  
 .

 1 3
11  5 
Calculate A  B .
0 5 


17  2 
2.
 0 10 


12  2 
3.
0%
3
0%
2
0%
1
  4 24 


 11  15
The determinant of a matrix A and
the determinant of its transpose AT
are not equal.
1. True
2. False
3. Don’t know
0%
ls
e
no
w
0%
D
on
’t
k
Fa
Tr
ue
0%
Calculate the determinant of
 3 1


.
  2 4
The determinant of a 2x2 matrix is -7.
What is the determinant of the
transpose of this matrix?
Which of the following statements
is false?
1. If the determinant of a
matrix is zero then the
matrix has two identical
rows.
2. If a square matrix has
two identical rows then
its determinant is zero.
3. Both are false.
0%
4. Neither are false.
1
0%
0%
2
3
0%
4
Which of the following is an upper
triangular matrix?
1.
4.
0 

 4
6 
0%
0%
0%
0%
4
2 0

8 0
0 0

3
  6 0 0


 0 2 0
 0 0 8


0 0
2


 1 3 0
 8  3 1


2
3.
2.
1
 1 0 8 


0 5 7 
 0 0  3


Consider ax  b . If a  0 then this
equation has infinitely many
solutions.
1. True
2. False
ls
e
0%
Fa
Tr
ue
0%
What is the size of this matrix?
 3 1 


9  7
 21 4 


1. 2 x 3
2. 3 x 2
3. 6
x
3
x
2
0%
6
2
0%
3
0%
If A and B are both 3x2 matrices
then which of the following are not
defined?
0%
a.
..
0%
A
ll
o
ft
he
se
A
B
T
0%
B
TB
0%
A
+B
0%
A
A+B
ATB
AB
ABT
All of these are
defined
A
1.
2.
3.
4.
5.
  3 6
A=  2 1 
3  
B= 2  .
Let
and
If A and
B are equal what is the value of  ?