Name: 
 

Section 05-01 - Sample Quiz - Basic Matrix Operations


Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
What are the dimensions of the matrix shown below?

mc001-1.jpg

a.
mc001-2.jpg
c.
mc001-4.jpg
b.
mc001-3.jpg
d.
mc001-5.jpg
 

 2. 
Consider the matrices shown below:

mc002-1.jpg   and   mc002-2.jpg

What is the value of  mc002-3.jpg?
a.
8
c.
10
b.
9
d.
11
 

 3. 
Consider the matrix shown below:

mc003-1.jpg

Which matrix below represents mc003-2.jpg?
(Sometimes the notation N’ is also used to represent the same thing as NT.)
a.
mc003-3.jpg
c.
mc003-5.jpg
b.
mc003-4.jpg
d.
mc003-6.jpg
 

 4. 
Which matrix below represents a mc004-1.jpg identity matrix (I2)?

a.
mc004-2.jpg
c.
mc004-4.jpg
b.
mc004-3.jpg
d.
mc004-5.jpg
 

 5. 
Which matrix below represents the zero matrix mc005-1.jpg?

a.
mc005-2.jpg
c.
mc005-4.jpg
b.
mc005-3.jpg
d.
mc005-5.jpg
 

 6. 
Determine the value of the following if it is possible. If it is not possible, explain.
mc006-1.jpg
a.
mc006-2.jpg
c.
mc006-4.jpg
b.
mc006-3.jpg
d.
It is not possible because you can’t add matrices with scalar numbers in front of them.
 

 7. 
Consider the following Matrix Equation:
mc007-1.jpg

Determine the value of ‘mc007-2.jpg’ that makes the statement true.

a.
a = 2
c.
a = 8
b.
a = 3
d.
It is not possible because not enough information is provided to determine ‘a’.
 

 8. 
Consider the Matrix
mc008-1.jpg
Determine the value of  mc008-2.jpg, if it is possible. If it is not possible, explain.
a.
mc008-3.jpg
c.
mc008-5.jpg
b.
mc008-4.jpg
d.
The dimensions of the matrices don’t align properly to find their sum.
 

 9. 
Matrix C has the dimensions mc009-1.jpg and Matrix D has the dimensions mc009-2.jpg.  Determine the dimensions of the matrix CD, if it is possible.  Explain why if it is not.
a.
Matrix CD would have the dimensions mc009-3.jpg
b.
Matrix CD would have the dimensions mc009-4.jpg
c.
Matrix CD would have the dimensions mc009-5.jpg
d.
These matrices can not be multiplied because their dimension don’t align.
 

 10. 
Find the following product if possible.  Explain if it is not possible.

mc010-1.jpg
a.
mc010-2.jpg
c.
mc010-4.jpg
b.
mc010-3.jpg
d.
These matrices can not be multiplied because their dimension don’t align.
 

 11. 
Find the following product if possible.  Explain if it is not possible.

mc011-1.jpg
a.
mc011-2.jpg
c.
mc011-4.jpg
b.
mc011-3.jpg
d.
These matrices can not be multiplied because their dimension don’t align.
 

 12. 
Consider the following matrix equation:

mc012-1.jpg

Determine the value of ‘a’ if possible.
a.
a = 0
c.
a = 2
b.
a = 1
d.
‘a’ cannot be determined becasuse the dimensions of the matrices don’t align properly to be multiplied.
 



 
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