Math-2050 Linear Algebra I
Midterm 1 Sample questions
The test covers: (a) Systems of linear equations, including elimination and back substitution procedures, coecient matrix, constant (or right-hand
MATH 2050
Assignment 5
Summer 2015
Due: July 10 into assignment box # 24 by 2:00 pm.
[5]
1. Write down the 3x2 matrix A = [aij ] where each entry aij is given by the formula
aij = 2ij cos j
.
3
[10]
1
MATH 2050
Assignment 2
Spring 2015
Due: June 3 into assignment box # 24 by 4:00 pm.
[2]
[2]
4
1. Let ~u = 2 . Find a unit vector in the direction of ~u and a vector of length 3 in the
3
direction op
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MATH 2050
Assignment 6
Summer 2015
Due: July 17 into assignment box # 24 by 2:00 pm.
[4]
1. Calculate AB and BA and determine whether A and B are inverses of each other.
"
#
1
1
2 0 21
(a) A =
and B =
MATH 2050
Assignment 4
Spring 2015
Due: June 26 into assignment box # 24 by 2:00 pm.
[5]
[10]
[10]
4
1
. Find the projection of ~u onto ~v ; and the projection of
2
3
1. Let ~u =
and ~v =
3
4
~v o
MEMORIAL UNIVERSITY
DEPARTMENT OF MATHEMATICS
Assignment 3
Math 2050
Fall 2016
Due: October 7, 2016. SHOW ALL WORK
[3]
1. Find the equation of the plane that contains the point Q(0, 1, 0) and is paral
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 6
Mathematics 2050
Winter 2017
Due: March 13, 2017 . SHOW ALL WORK
s 2s st
1. Determine s and t such that the ma
MATH 2050
Assignment 4
Fall 2016
Due: Friday, Oct. 21
[5]
2
1
2
1. Let ~u =
and ~v = 1 . Find the projection of ~u onto ~v ; and the projection of ~v
3
1
onto ~u respectively.
ANS: The projection
MATH 2050
Assignment 6
Fall 2016
Due: Friday, November 4
[5]
1. For what value of c does
x + y + 2z = 2
x + y + z = c
4x
+ 2z = 2
have a solution? Is it unique?
Solution: Writing the system as an augm
MEMORIAL UNIVERSITY
DEPARTMENT OF MATHEMATICS
Assignment 3
Math 2050
Fall 2016
[3]
1. Find the equation of the plane that contains the point Q(0, 1, 0) and is parallel to
the plane 2x + y z = 0.
2
Sol
MATH 2050
Assignment 9
Fall 2016
This assignment is not for credit, and will not be graded
Note that the final exam also covers material after HW8, including, for instance, eigenvalues
and eigenvector
MATH 2050
Assignment 2
Fall 2016
Due: Friday, September 30
[5]
3
4
1. Let ~u =
0 . Find a unit vector in the direction of ~u and a vector of norm 4 in the
12
direction opposite to ~u.
p
Solution:
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 1
Mathematics 2050
Fall 2016
Due: Sept 23, 2016 SHOW ALL WORK
[6]
1. Vector w
has the starting point (1, 2, 3)
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 5 Solutions
3 cos 6
6 cos 2
6
Mathematics 2050
3
3
2
3
=
6
2
9 23
T
w
1
0
v
= 2
4 and B =
wT
3 5
2
1
Term test#1- February 4, 2013 solution
PROBLEM #1: (5 Marks)
For the stress element shown below x= -1000 MPa, y = 0MPa, xy= 750 MPa:
abc-
Draw Mohrs circle (need not to scale - the formulas for calcul
MATH 2050
Assignment 9
Winter 2017
Do not need to hand in
Note that the final exam also covers material after HW8, including, for instance, calculating
determinant by row operations, eigenvalues and e
MATH 2050
Assignment 3
Winter 2017
Due: Feb. 3
[3]
1. Find a vector of length 3 orthogonal to the plane 3x 4z = 5.
[3]
2. Find the equation of the plane that contains the point Q(1, 2, 5) and is paral
MATH 2050 Assignment 9 Fall 2016
This assignment is not for credit, and will not be graded
Note that the nal exam also covers material after HWS, including, for instance, eigenvalues
and eigenvectors,
[4]
Math 2050 Assignment 1, Due Jan 20
1
~ = 2 , find A.
1. If B = (1, 4, 3) and AB
5
[6]
2. Given ~u =
4
2
and ~v =
1
4
, find ~u ~v and illustrate the substraction with a picture.
[6]
1
0
2
5
3. L
MEMORIAL UNIVERSITY OF NEWFOUNDLAND
DEPARTMENT OF MATHEMATICS AND STATISTICS
Assignment 3
Mathematics 2050
Fall 2011
Due: October 3, 2011 . SHOW ALL WORK
1. Find the equation of the plane passing thro
TEST 1 MATHEMATICS 2050 - 004 WINTER 2017
MUN Number
1 2
1. Letu= 0 , V: 1
1 0
[4] (a) Find all numbers k, if any, such that u + k1? is orthogonal to u kv.
(End). (mm =o<=>r (:3") (23)
-l
(=27 |~th-
W;
/
MATH 2050 Assignment 2 60 Fall 2016
Due: Friday, September 30
3
[5] 1. Let 1? = 3 . Find a unit vector in the direction of 11' *nd a vector of norm 4 in the
h_-_-
12
(a
[@in all vectors u t t are