Kingdom of Saudi Arabia
Ministry of Higher Education
Majmaah University
College of Engineering
Department: Basic Engineering Sciences
Exam Information
First Exam
Course code:
Math 107
Course Title: Algebra and Analytical
Geometry
Instructor:
Dr. Mukhtar Salah
Section number:
1
Exam date:
We. 29/10/2014
Exam time:
From:
4:00 pm
To: 6:00
pm
Exam hall:
3D38-41
Number of pages: 6
Total score:
20points
Student’s Information
Name:
ID:
Exam Instructions:
 Read the questions carefully and several times. Writing clearly will make
it possible to assess your answers correctly.
 Any form of cheating, intention to cheating, or disruption of the exam will
subject you to a disciplinary action as specified by the university’s
regulations.
 Carrying or using the mobile phone during the exam is not allowed. Using
the phone during the exam will carry a disciplinary action.
 The calculator is only permitted by the exam supervisor.
 No student can leave the exam room during the first half hour of the
exam. Any student coming after the first half hour of the exam will not be
permitted to enter the exam.
 A student leaving the exam, even for legitimate reasons, may not be given
a makeup exam.
Points Earned:
Question
1
2
3
Score
Question
4
5
6
Score
Total score in the exam:
Dear student, we encourage you to answer the exam the best you can and we
wish you all success.
1
Question 1:( 5pts)
2 0 0
 3 0 3


If A  1 5 4, and B  0 3 0 then find
0  1 2
1 0 2
1) A-1
2) B T
3) A1 B T
2
Question2 : (3pts)
Consider the following linear system
x y 3
x  (a 2  8) y  a
Find all values of a for which the resulting linear system has
1) No solution
2) a unique solution
3) infinitely many solution
-------------------------------------------------------------------------------------------------------
3
Question 3: (4pts)
Consider det( A33 )  3 and det( B313 )  0.5 , find
1) det( A1 B)
2) det( adj ( A))
3) det( 4 A)
4) det( A100 )
-------------------------------------------------------------------------------------------------------
4
Question 4: (3pts)
1 1 1
Let A  0 2 0 find the adj ( A).
1 0 3
5
Question 5: (5pts)
Let u  2i  3 j  2k and v  i  j  2k find
1) the vector component of u orthogonal to v
2) if  is the angle between these two vectors find tan  .
=============================================================
End of the Exam
Good Luck
Dr. Mukhtar Salah
6