S15 MA 265 Exam 2 04/02/2015 12:00pm or 1:30pm
You have 75 minutes to finish the exam.
NAME:
You must show work to receive credit.
1. (12 pts) Let V = spancfw_v1 , v2 , where
1
v1 = 0 ,
2
1
v2 = 1 .
1
Find a basis S for R3 that includes v1 and v2 .
page
S15 MA 265 Exam 1 02/19/2015 12:00pm or 1:30pm
You have 75 minutes to finish the exam.
NAME:
You must show work to receive credit.
1. (14 pts) Compute det(A), given
A=
2
1
0
0
1
2
1
0
page 1 of 7
0
1
2
1
0
0
1
2
2. (14 pts) Determine the reduced row echel
Math 265
Professor Priyam Patel
11/4/13
Midterm 2 Practice Problems Answers
1. Yes. If you form the matrix A = [u1 u2 u3 ] and row reduce you will find that rank A =
3. Therefore, the columns of A and thus the set S = cfw_u1 , u2 , u3 are linearly indepe
S15 MA 265 Exam 2 04/02/2015 12:00pm or 1:30pm
You have 75 minutes to finish the exam.
NAME:
You must show work to receive credit.
1. (12 pts) Let V = spancfw_v1 , v2 , where
1
v1 = 0 ,
2
1
v2 = 1
1
Find a basis S for R3 that includes v1 and v2 .
Solut
Math 265 Midterm 1
Oct 2nd, 2008
Name:
Section:
This exam consists of 8 pages including this front page.
Ground Rules
1. No calculator is allowed.
2. Show your work for every problem unless otherwise stated.
3. You may use one 4-by-6 index card, both side
S15 MA 265 Exam 1 02/19/2015 12:00pm or 1:30pm
You have 75 minutes to finish the exam.
NAME:
You must show work to receive credit.
1. (14 pts) Compute det(A), given
A=
2
1
0
0
1
2
1
0
0
1
2
1
0
0
1
2
Solution. Using cofactor expansion, we expand the deter