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Worksheets

Matrix Magic 3

Total questions: 40

Worksheet time: 8hrs 9mins

Name
Class
Date
1.
a=1             b=2
c=3              d=4
find determinant 
a)
-2
b)
2
c)
2
d)
7
2.
a=-1             b=5
c=2              d=8
find determinant 
a)
5
b)
-18
c)
2
d)
-3
3.
a=6         b=6
c=1            d=1
find determinant 
a)
6
b)
0
c)
12
d)
1
4.
a=4          b=-1
c=-1       d=4
find determinant 
a)
14
b)
15
c)
17
d)
-1
5.
a=-2          b=2
c=4             d=3
find determinant 
a)
-14
b)
10
c)
-6
d)
2
6.
a=10        b=-2
c=-3              d=1
find determinant 
a)
14
b)
4
c)
16
d)
0
7.
a=2         b=5
c=-5           d=10
find determinant 
a)
25
b)
-5
c)
45
d)
1
8.
a=16          b=-1
c=-1             d=1
find determinant 
a)
15
b)
16
c)
-1
d)
17
9.
a=3          b=9
c=1            d=3
find determinant 
a)
9
b)
0
c)
3
d)
27
10.
If a 2X2 matrix has 2 rows and 2 columns
then how many rows does a 4X3 matrix have?
a)
4
b)
3
c)
2
11.
In Matrix R (pictured) what element is in the second row, third column?
a)
8
b)
9.01
c)
6
d)
1
12.
Subtract
a)
-5
-8
3
10
b)
-9
8
3
2
c)
5
-8
3
10
d)
-5
8
3
2
13.
Add
a)
11    8
-4     2
b)
3     2
-6    -6
c)
-3    2
-4    -6
d)
10    8
-6    2
14.
What are the dimensions of this matrix?
a)
2 x 3
b)
3 x 2
c)
6 x 1
d)
1 x 6
15.
Dimensions?
a)
a
b)
b
c)
c
d)
d
16.
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
17.
Identify
a)
Cramer's Rule
b)
row echelon form
c)
Identity matrix
d)
inverse matrix
18.
How many columns are in a 5 x 4 matrix?
a)
5
b)
4
c)
20
d)
9
19.
Given matrices A & B: 
A is a (4x33) matrix
B is a (33x1) matrix
 What are the dimensions of the product of A times B?
a)
4x1
b)
4x33
c)
33x1
d)
Matrix does not exist
20.
Which of the following has a determinant of 0?
*det= ad-bc
a)
⌈1  0⌉
⌊2  3⌋
b)
⌈-4  -2⌉
⌊6   3⌋
21.
Multiply the matrices
a)
A
b)
B
c)
C
d)
D
22.
Perform scalar multiplication on the matrix
a)
A
b)
B
c)
C
d)
D
23.
Dimensions?
a)
a
b)
b
c)
c
d)
d
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.
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
26.

Perform the following operation

a)
b)
c)
d)
e)

not possible

27.
What do a, b, c and d equal in this matrix addition?
a)
a = -1, b = 10, c = 7, d = -11
b)
a = -1, b = 10, c = -11, d = 7
c)
a = 10, b = -1, c = 7 , d = -11 
d)
a = 10, b = -1, c = -11, d = 7
28.
Find the determinant of the matrix
a)
A
b)
B
c)
C
d)
D
29.
Solve for the determinant of the following matrix:  
⌈12  −3⌉
⌊−6  15⌋
*detA= ad-bc
a)
198
b)
162
c)
-333
d)
-9
30.
Calculate the determinant
a)
0
b)
none
c)
-32
d)
-8
31.

Does this matrix have an inverse?

a)

Yes

b)

No

c)

Maybe

d)

I don't know

32.
These matrices are being multiplied. Determine the dimension/size of the new matrix. 
a)
Can't multiply them
b)
4  x  2
c)
3  x  3
d)
4  x  3
33.
Find the product of the two matrices.
a)
1   2
6   -8
b)
-3   -5
-5   -11
c)
-2     8
-6   -12
d)
2  -3
5   -2
34.
Find the product of the matrices.
a)
A
b)
B
c)
C
d)
D
35.
Find the determinant's value
a)
-18
b)
-23
c)
-2
d)
2
36.
Calculate the determinant
a)
0
b)
-15
c)
-70
d)
10
37.

Evaluate the determinant of the matrix.

a)

68

b)

-49

c)

-83

d)

-75

38.

Evaluate the determinant of the matrix.

a)

40

b)

30

c)

20

d)

10

39.

Evaluate the determinant of the matrix.

a)

695

b)

284

c)

392

d)

-179

40.
Find the determinant of the matrix
a)
A
b)
B
c)
C
d)
D