NAME:
Student Number:
Oct.2, 2014
MATHEMATICS 222 - Quiz 1
Part I. Label the following statements (110) as true(T) or false(F).
In all of the following questions, we assume that U, V and W are vector spaces (with operations +
and ) over a eld F ; u, v, w,
Fall Term, 2014
Name:
Student Number:
WILFRID LAURIER UNIVERSITY
Waterloo, Ontario
Mathematics 222 — Linear Algebra
Midterm — Oct.23, 2014
Instructor: K aiming Zhao
Time Allowed: 80 minutes
Total Value: 60 marks
Number of Pages: 5 plus cover page
Instruct
Wilfrid Laurier
University
Winter Term, 2013
WILFRID LAURIER UNIVERSITY
Waterloo, Ontario
Mathematics 222 — Linear Algebra
Midterm —- Feb.27, 2013
Instructors: Kaiming Zhaa, Ping Zhang
Time Allowed: 80 minutes
Total Value: 60 marks
Number of Pages: 5 pl
MA222 - Final Examination Page 1 of 6
N‘
a1 — 612
[10 marks] 1. Let T : R2 —> R3 be the linear transformation deﬁned by T ( a1 ) = a1 . Let
a2 V 20,1 + (12
1 2 1 0 2
a={(2),(3)},6= 1 , 1 , 2 beorderedbasesforll?anle3
respectively. Compute
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J
P
(
1}“
Winter Term, 2014
Name:
Student Number:
WILFRID LAURIER UNIVERSITY
Waterloo, Ontario
Mathematics 222 — Linear Algebra
Midterm —- Feb.2‘7, 2014
Instructor: Kaiming Zhao
Time AlloWed: 80 minutes
Total Value: 60 marks
Number of Pages: 5 plus cover page
I
NAME:
Student Number:
Jan.30, 2014
MATHEMATICS 222 - Quiz 1
Part I. Label the following statements (110) as true(T) or false(F).
In all of the following questions, we assume that U, V and W are vector spaces (with operations +
and ) over a eld F ; u, v, w
NAME:
Student Number:
Jan.29, 2012
MATHEMATICS 222 - Quiz 1
Part I. Label the following statements (110) as true(T) or false(F).
In all of the following questions, we assume that U, V and W are vector spaces (with operations +
and ) over a eld F ; u, v, w
NAME:
Student Number:
Nov.13, 2014
MATHEMATICS 222 - Quiz 2
Part I. Label the following statements as true (T) or false (F). Assume that V, W, Z are nite
dimensional vector spaces over a eld F ; T, T : V W, U : W Z are linear transformations;
, , are orde
NAME:
Student Number:
March 20, 2014
MATHEMATICS 222 - Quiz 2
Part I. Label the following statements as true(T) or false(F). Assume that V, W, Z are nite
dimensional vector spaces over a eld F ; T, T : V W, U : W Z are linear transformations;
, , are orde
WILFRID LAURIER UNIVERSITY
WATERLOO, ONTARIO
Winter Term, 2014 Name:
Course ID: MA222 Student ID;
Course Title: Linear Algebra Section:
Instructor: K. Zhao
Number of Pages: 5 plus cover page
Length of Examination: 2 hours
Examination Aids Allowed: Non
MA222 - Final Examination Page 1 of 5
[15 marks] 1, Let T : P1(C) —> P2(C) be the linear transformation deﬁned by
T(a1+ (1256) = a1 — a2 + ala: + (2a1 + a2)a:2, V a1,a2 E (C.
Let a = {3, 3x}, ﬂ = {1 + m, a: + $2, 2 + 255 + 002} be ordered bases for P1(C)
NAME:
Student Number:
March 21, 2013
MATHEMATICS 222 - Quiz 2
Part I. Label the following statements as true(T) or false(F). Assume that V, W, Z are nite
dimensional vector spaces over a eld F ; T, T : V W, U : W Z are linear transformations;
, , are orde
NAME:
Student Number:
Jan.29, 2012
MATHEMATICS 222 - Quiz 1
Part I. Label the following statements (110) as true(T) or false(F).
In all of the following questions, we assume that U, V and W are vector spaces (with operations +
and ) over a eld F ; u, v, w
Wilfrid Laurier
University
Winter Term, 2013
WILFRID LAURIER UNIVERSITY
Waterloo, Ontario
Mathematics 222 Linear Algebra
Midterm Feb.27, 2013
Instructors: Kaiming Zhao, Ping Zhang
Time Allowed: 80 minutes
Total Value: 60 marks
Number of Pa