Ministry of Higher Education
Kingdom of Saudi Arabia
CSTS
SEU, KSA
Linear Algebra (Math 251)
Level IV, Assignment 1
(2016)
1. State whether the following statements are true or false:
[6]
(a) The system of linear equations
1
2
12x 6y = 3
2x y =
have a uni
Section 1.
State whether the following statements are True or False
1. The inner product operation must satisfy 2 conditions.
a. True
b. False
2. If the columns of A are linearly independent, the equation Ax=b has exactly one least squares
solution
a. Tru
Saudi Electronic University
College of Computing and Informatics
Assignment of week 5/ Math 251
Q1: (True or False Questions)
1. The components of the vector v with initial point (2,3) and terminal point (5,8) are (3,
5) ( T )
2. the midpoint of the line
Math 251 Linear Algebra
Assignment 6
In parts (a) to (e) determine whether the statement is true or false.
a- The system
Ax=b is consistent if and only if b is not in the column space of A . FALSE
b- The row space and column space have the same dimension.
Saudi Electronic University
College of Computing and Informatics
Assignment of week 4/ Math 251
Section A
Q1. If A and B are square matrices of same size. Then det(A+B)
Q2.The Number
( 1)
i j
is called the Cofactor of
M ij
Q3. If
Then cofactor of
3
A 4
1
Saudi Electronic University
College of Computing and Informatics
Assignment of week 11/ Math 251
-Section A
State whether the following statements are True (T) or False (F)
1) If A is orthogonal then det(A) = 1 or det(A) = -1. T
2) Let A= and if P diagona
True Or False
1. False
If is an eigenvalues of a matrix A, then the linear system (I-A)X =0hasonly the
trivial solution.
2. True
If 0 is an eigenvalue of a matrix A, then A2 is singular.
3. True
If A is diagonalizable, then there is a unique matrix P such
MCQ
1. The eigenvalues of the following Matrix are:
4
[2
2
a) 2,3
b) -1,-2,-3,
0 1
1 0]
0 1
c) 3
d) 1, 2, 3
2. The characteristic equations of the following matrix:
10 9
[
]
4 2
a) 2 8 + 8 = 0
b) 2 8 + 16 = 0
c) 2 2 + 8 = 0
d) 2 + 8 16 = 0
3. The matrix P
Omnia Abdullah
120007459
Assignment - 3
Question 1
Evaluation Determinants
Evaluating the determinants of
1 2 3
3 1
4 5 6
A
and
B
4
2
7 8 9
Question 2
Using Row Reduction to Evaluate a
Determinant(1/2)
Evaluate det(A) where
1
0
A
3 -6
6
2
5
9
1
Q
Najwa Knefati week 11 hm
Chapter 8
Linear Algebra
Linear
Assignment
Week11
Transformation
Section I
s
Saudi Electronic University ( college of IT).
MATH 251.
State whether the following statements are True or False
1. If A is an 3 5 matrix and T is a tran
:Q 1: Choose the correct answer
:The point (3,0) satisfy one of the following systems(1
a)x + y 5
b) 3x-y 9
x + 2y 3
4x+5y 11
c) 12x y 35
d) 2x + y 6
3x + 4y 10
3x 5y 15
:one of the following system is bounded (2
a) y x
b) y x+3
y -x
y 4-x
c) x 1
d) y 2x+
CH1
Linear Equations
we define a linear equation in the n variables x1, x2, , xn to be one that can be
expressed in the form
a1x1+a2x2+anxn = b
Linear Systems:
A sequence of numbers s1, s2, , sn is called a solution of the system if
x1=s1,x2=s2, , xn=sn i
Omnyah Abdullah * 120007459
Linear Algebra
Assignment week [4]
Student Name: Omnyah Abdullah
ID: 120007459
Section 1
State whether the following statements are True or False.
(i) The direction of vectors v and v are same.F
1
[Omnyah[Type the company name
Home work Assignment for Week 8
Section I
State whether the following statements are True (T) or False (F)
1-If is an eigenvalue of a matrix A, then the linear system (I-A)X =0 has only the trivial
solution. ( F )
2-If 0 is an eigenvalue of a matrix A, th
Saudi Electronic University
College of Computing and Informatics
Assignment of week 6/ Math 251
-Section A
State whether the following statements are True (T) or False (F)
1) There is a vector space consisting of exactly two distinct vectors. FALSE
2) Eve
Assignment NO. 2 week5-week7
Student Full Name:_ .
Student ID:_ .
CRN No:_ .
Branch: _.
Linear Algebra
(Math-251)
Total Points
True/False
_/6
MCQ
_/6
Short Answer
_/18
Total
_/30
Due Date
Date: 24-03-2017
Max Marks: 30
Section-I
State whether the followin
Assignment NO. 3 week9-week11
Student Full Name:_ .
Student ID:_ .
CRN No:_ .
Branch: _.
Linear Algebra
(Math-251)
Total Points
True/False
_/6
MCQ
_/6
Short Answer
_/18
Total
_/30
1|7Page
Due date: 05 May 2017
Max Marks: 30
Section-I
State whether the fol