(51)
Student Name(print): (Last name):
No: _ MATH 2568 LINEAR ALGEBRA QUIZ 5
; (First name) :
Q. 1 (lOpt). (1) Determine whether W is a subspace of R2,
W : {x : (171 = 3:2, 07' 331 : A332} .
{2)Determ‘me whether W 115 a subspace of 732,
(I)
W : m 732: p(1

MATH 2568 LINEAR ALGEBRA MIDTERM 1 N0: _
Student Name(print): (Last name) : ; (First name):
Please be neat and ShOW all work.
Q. 1 (10pt). Solve the following system and express the general solution in vector
form.
2 0 1 1
[AIS]: 0 1 1 —1
4 2 4 0
"ch

MATH 2568 LINEAR ALGEBRA QUIZ 1 N0: _
Student Name(print): (Last name): ; (First name):
Please be neat and ShOW all work.
Q. 1 (5pt). Solve the system by transforming the augmented matrix to reduced echelon
form.
1131- CL'2- 1123 =1
1131 + 333 =2
5122+

N0: _ MATH 2568 LINEAR ALGEBRA QUIZ 4
Student Name(print): (Last name): _ ; (First name):
Q. 1 (Spt). Show that there is no real scalars A such that A — AI is singular.
[2 ‘1]
A:
1 2
A 2211,70 nghw
(71) :- cﬁi
1‘ '[zvyz _,
< , 241])
: if"— 4 >1 v; .
_.

N0: _ MATH 2568 LINEAR ALGEBRA QUIZ 3
Student Name(print): (First name): , (Last name):
Q. -1 (5pt). Let W be a subspace of R4 consisting of vectors of the form
F ind a basis for W when the components of x satisfy the given conditions.
—$1+ 2132 — $4 = 0_

N0: _ MATH 2568 LINEAR ALGEBRA MIDTERM 2
Student Name(print): (Last name): m ; (First name):
Please read through all the questions before starting to answer.
Please be neat and ShOW all work.
Q. 1 (5pt). Determine whether W is a subspace of R3.
551
W: X:

MATH 2568 LINEAR ALGEBRA QUIZ 2 N0: _
Student Name(print): (Last name): _._._ ; (First name):
Please be neat and show all work.
and A = (0,5).
Q. 1 (Spt). Letv = [3
—2
—> —>
(a) Find points B and C such that v = AB and 2v 2 AC.
« a —)
(1) Graph v = AB a