system of linear equations. Determine whether the system has a solution and find the solution(s) to the
system, if they exist.
(Note: The dotted vertical line in the matrix above should be a single vertical line.)

Question 12
Your answer is CORRECT.
Given A =
. What is the size (dimension) of A?

Question 13
Your answer is CORRECT.

Given A =
.
Find its transpose.

Question 14
Your answer is CORRECT.
Perform the indicated operation, if possible.

a)
b)
c)
d)
e)
f)
None of the above.

Question 15
Your answer is CORRECT.
Solve for
z
.

b)
c)
d)
e)
f)
None of the above.
Question 16
Your answer is CORRECT.
Let
E =
and
F =
. Compute the product EF, if possible.

e)
f)
None of the above.
Question 17
Your answer is CORRECT.
Find the inverse of the given matrix, if it exists.

Question 18
Your answer is CORRECT.
Solve the following system of equations by using the inverse of the coefficient matrix.

a)
x
= -5,
y
= 1
b)
x
= -2,
y
= -1
c)
x
= -5,
y
= -1
d)
x
= -3,
y
= 1
e)
x
= 0,
y
= 2
f)
None of the above.

Question 19
Your answer is CORRECT.
A certain academic department at a local university will conduct a research project. The department will
need to hire graduate research assistants and professional researchers. Each graduate research assistant