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Worksheets

Matrices

Total questions: 40

Worksheet time: 3hrs 35mins

Name
Class
Date
1.
Subtract
a)
-5
-8
3
10
b)
-9
8
3
2
c)
5
-8
3
10
d)
-5
8
3
2
2.
In Matrix R (pictured) what element is in the second row, third column?
a)
8
b)
9.01
c)
6
d)
1
3.
Identify the dimensions.
a)
1 x 3
b)
1 x 2
c)
2 x 1
d)
3 x 1
4.
What comes first in the order?
a)
Row
b)
Column
5.
What must be true in order to ADD two matrices?
a)
They must be square.
b)
The dimensions must be equal.
c)
The determinant can't equal 0.
d)
The column of the 1st must equal the row of the 2nd.
6.
You can multiply a 2X3 matrix by which matrix?
a)
2X2
b)
2X12
c)
3X12
d)
2X3
7.
Add
a)
11    8
-4     2
b)
3     2
-6    -6
c)
-3    2
-4    -6
d)
10    8
-6    2
8.
What are the dimensions of this matrix?
a)
2 x 3
b)
3 x 2
c)
6 x 1
d)
1 x 6
9.
Multiply
a)
20     15    -10
30     -5         0
b)
-20      15     -10
30     -5          0
c)
1        8       3
11     4        5
d)
20     -15     10
-30         5        0  
10.
How many rows are in a 7 x 3 matrix?
a)
7
b)
3
c)
21
d)
10
11.
Multiply
a)
1   2
6   -8
b)
-3   -5
-5   -11
c)
-2     8
-6   -12
d)
2  -3
5   -2
12.
Find the product.
a)
undefined
b)
-3   16
17   12
8   -10
c)
3   12 
-15  -8
-1   -3
13.
Multiply the matrices
a)
A
b)
B
c)
C
d)
D
14.
a)
17   12
25   18
b)
8   9
12   6
c)
6   6
7   5
d)
12   10
10   12
15.
a)
A
b)
B
c)
C
d)
D
16.
What is a Matrix?
a)
An equation of over 5 numbers or symbols 
b)
A set of numbers in rows and columns
c)
A method of finding the nth value of a series
d)
A complicated number system
17.
What is the name of each entry of a matrix?
a)
Row
b)
Element
c)
Dimension
d)
Rectangle
18.
How many columns are in a 5 x 4 matrix?
a)
5
b)
4
c)
20
d)
9
19.
In Matrix R (pictured) what is the value of element R3,2
a)
8
b)
9.01
c)
6
d)
1
20.
What are the dimensions of this matrix?
a)
2 x 3
b)
3 x 2
c)
6 x 1
d)
1 x 6
21.
Find A+B
a)
8     10
8      1 
b)
12     25
7     1
c)
10     30
0     1
d)
can't add two together because the rows dont match columns
22.
Find B-A
a)
-3     1
7     -1
b)
1     0
1     -4
c)
4       0
-6     0
d)
not possible because rows do not match columns
23.
What always comes first in reference to matrix order?
a)
Row
b)
Column
c)
Element
d)
Dimension
24.
find: B*A
a)
47     30
9     5
b)
17     15
42     35
c)
10     25
7     1
d)
not possible because rows do not match columns
25.
Find the product.
a)
undefined
b)
-3   16
17   12
8   -10
c)
3   12 
-15  -8
-1   -3
26.
Determine whether each matrix product is defined.  If so, what are the dimensions of the product.
A2x3  B2x5
a)
no
b)
yes, 2 x 5
c)
yes , 3 x 5
d)
yes , 2 x 3
27.
Multiply
a)
20     15    -10
30     -5         0
b)
-20      15     -10
30     -5          0
c)
1        8       3
11     4        5
d)
20     -15     10
-30         5        0  
28.
What do m, n, p and q equal in this scalar matrix multiplication?
a)
m=8, n=9, p=-4, q=4 
b)
m=15, n = -45, p=20, q=-5
c)
m=20, n=-5, p=15, q=-45
d)
m=-5, n=20, p=-45, q=15
29.
Dimensions?
a)
a
b)
b
c)
c
d)
d
30.
a)
-2   4   -9
-1   -6   -17
b)
-8   12   -9
1   6   17
c)
-8   4   -9
15   6   7
d)
-2   -4   -9
15   6    7
31.
Perform scalar multiplication on the matrix
a)
A
b)
B
c)
C
d)
D
32.
Add and subtract the matrices
a)
A
b)
B
c)
C
d)
D
33.
Multiply
a)
25
25
5
b)
-25
25
-5
c)
-10
-10
-6
d)
10
10
6
34.
What must be true in order to MULTIPLY two matrices?
a)
They must be square.
b)
The dimensions must be equal.
c)
The determinant can't equal 0.
d)
The #of columns of the 1st must equal the # of rows of the 2nd.
35.
What is the value of element M34
a)
34
b)
42
c)
37
d)
π
36.
When a 3x6 matrix is multiplied by a 6x5 matrix, what will the dimensions of the product be?
a)
6x6
b)
3x6
c)
3x5
d)
5x6
37.
Perform the indicated operation.  If it’s not possible, select Not Possible. 
a)
7
-7
-6
20
b)

-9
-6
20
c)
Not Possible
d)
7
-9
2
20
38.
This system has _____ solutions
a)
0
b)
1
c)
2
d)
Infinitely many
39.
There are a total of 125 cats and dogs. There are 5 more cats than dogs. Which system of linear equations could be used to find the number of cats and dogs?
a)
C+D=125
5+C=D
b)
C+D=125
5+D=C
c)
C+D=125
C-D=5
d)
C+D=125
D-5=C
40.
Element Address?
a)
a
b)
b
c)
c
d)
d