Mariam Tsilosani
Linear Algebra
Matrix addition and Matrix subtraction:
Matrix is a rectangular array, containing numbers, symbols or expressions. Elements in the Matrix are
arranged in rows or columns.
Example of a Matrix:
1
[4
7
2 3
5 6]
8 9
Matrix Addi
Math 250, section 7 Mini-quiz 12 March 7, 2017
Name: 4%
1. Let A be the matrix
1 2 0 2 I 1 O R
1 2 1 3 /\> o O J I
2 4 3 1 C) O 3 ,7
(a) Findabasis for Col A. 1 , Z. O 1 ,
Aa goo' EKQCF
Tam PM)" Col; Gag A
O
[W B];
5L /.
(b) Find a basis for Null A.
I ~1
Math 250, section 14 Mini-quiz 19 April 18, 2017
Name:
1. Find the equal: 0 the leastosquares line for the given data by following the following steps:
(12), (24), (37)
[6:13 C J
)Calculatc OTC
C309
(C)Ca.lcul e(CTC)1. [4+33/q3Q-6 5 Q)
d):_. qu
C9 23
)C
Math 250, section 7- Mini-quiz 18 April 14, 2017
i I
Name:
L in 9 1 U E [ I g
n
Liv- u = 7 , 3 = 2 , 1 . O /
' #1 d1 2
" _-_-,
S is an orthogo a1 basis for a subspace W of R3. v; V L
(3.) Find the u que vectors w in W and z in WJ' such that u = w + z.
.
Math 250, section 14 Mini-quiz 17'
Name:
April 11, 2017
1. An orthogonal set S ector u in Span S are given below. Use dot products/projections to write 11
l! "=[2l
as a linear combination of the vectors in S.
t S=M=HHH
of nonzero vectors with the same s
Math 250, section 14 Mini-quiz 5 February 3, 2017
Name; %L_ f
1. Is the following set S linearly dependent? If so, write one of the vectors in S as a linear combination of l
the others.
) ,3 cfw_lfllil'lil
a; _. .> m l (L
F3+Q> 0? cf mfwft "\ Gt
Instructo
Math 250, Section 7
Mini-quiz 4 1 January 27, 2017
Name:
J a f
1. Find the rank an n ty of the following matrix: (2 _ r! 2
(#1112913 l Is
0 l 3
3 C) 00
J A _B
2. Is the vector
in
, _, g a Cr
1 (r )r
_L 3 g l \ l
I (2.?333 O l 3%)
1 (DOC) I
mist-:41
W
Math 250, section 14 Mini-quiz 9 February 21, 2017
Name: %
1. Find the inverse of
A=[: g3] A+=1cs MW
using the formula presented in class.
a q 71
A";_.L_,
5 3
we?
2. Compute the determinant of
2
.hcarI
C3000
B=l
by using the cofactor expansion along the s
Math 250, section 7 Miniquiz 10 February 28, 2017
Name: _Q%
1. Find the determinant of the following matrix using row .reduction
3 13 2:|
4 l
1
2. Find the value of c for which the following matrix is not invertible by calculating a determinant. (You
ma
Math 250, section 7 Mini-quiz 13 March 21, 2017
l. A matrix and a vector are given. Show that the vector is an eigenvector of the matrix, and determine
. the corresponding eigenvalue.
50' 55 ewes CTQ A
v/ e-vad /\:@3
2. Below a matrix and a. scalar /\ are
Chapter 5Demand Forecasting
TRUE/FALSE
1. One of the goals of an effective CPFR system is to minimize the negative impacts of the bullwhip
effect on supply chains.
ANS: T
PTS: 1
2. The modern day business environment must deal with a more homogenous consu
Chapter 6Resource Planning Systems
TRUE/FALSE
1. The resource and operations planning done by operations managers is intended to balance capacity and
output.
ANS: T
PTS: 1
2. MRP is the production planning system intended to develop long-range plans (more
Math 250 Linear Algebra with MATLAB, Quiz #3
Answer the questions in the spaces provided and label all of your work. Responses with no
work may receive no credit even if the answer is correct.
Name:
1. Suppose A is a m n matrix. The P LU -decomposition of
Math 250 Linear Algebra with MATLAB, Quiz #2
Answer the questions in the spaces provided and label all of your work. Responses with no
work may receive no credit even if the answer is correct.
Name:
1. Let S = cfw_u, v, w be a set of three vectors in Rn .
Math 250 Linear Algebra with MATLAB, Quiz #1 Solutions
Answer the questions in the spaces provided and label all of your work. Responses with no
work may receive no credit even if the answer is correct.
Name:
1. Consider the following matrix.
0
A= 2
3
1 2
Math 250 Linear Algebra with MATLAB, Quiz #4
Answer the questions in the spaces provided and label all of your work. Responses with no
work may receive no credit even if the answer is correct.
Name:
1. Consider the matrix A below,
5 1
4
A= 0
0
2
along wit
revised 1/16/17
Spring 2017
MATH 250 Introduction to Linear Algebra with MATLAB, Section C2
Text: Spence, Insel & Friedberg Elementary Linear Algebra: A Matrix Approach, 2nd Edition
ISBN # 978-0-13-187141-0, Prentice-Hall, Upper Saddle River, NJ 07458
Syl