RIT-Dubai EE 0304-870-32: Mathematics for Engrs I Midterm Examination II (Solution)
Name: _ INSTRUCTIONS:
1. Please box your final answers. 2. You must show all work (details, derivations, carefully drawn & labeled graphs, equations, etc.) to receiv
R.I.T DUBAI
Mathematics for Engrs I
Quiz # 3 (Solution)
1. Let . a. Find The characteristic polynomial of matrix b. Find the eigenvalues of matrix c. Find the modal matrix of matrix Solution: a. b. c. and . . . .
Therefore, 2. Two of the eigenvalues
R.I.T DUBAI
Mathematics for Engrs I
Quiz # 2 (Solution)
1. Let and .
a. Find dot product between the above two vectors. b. Perform GS orthogonalization process to find and .
2. Use QR factorization process to solve the following system
Solution: 1
R.I.T DUBAI
Mathematics for Engrs I
Quiz # 1 (Solution)
1. Let . Find the for .
2. Let
, and
. Compute
.
3. For the data shown in the following table find the best least square fit by a linear function . x013 y124 1.
2.
3.
Therefore,
RIT-Dubai EE 0304-870-32: Mathematics for Engrs I FINAL EXAM (Solution)
Name: _ INSTRUCTIONS:
1. Please box your final answers. 2. You must show all work (details, derivations, carefully drawn & labeled graphs, equations, etc.) to receive credit. No
Example 1 Consider the circuit shown in Figure 1
R1 = 1W L = 2H
+
i L (t )
C1 = 1F R1 = 3W
+ _
+
v c1 (t )
C2 = 1F
+
u (t )
_
v c2 (t )
_
y (t )
_
Figure 1 An electric circuit with three states The three states of the circuit are defined as
RIT
DUBAI
MATH for ENGINEERS I
Instructor: Office Location: Office Phone: E-mail: Course Structure: Dr. Sohail Dianat Office Hours: Posted By Appointments
[email protected] Lecture Hours = 4/wk, Total Credits = 4
Term: Time: Room:
Pre-requisites: Co