This preview shows pages 1–3. Sign up to view the full content.
University of Toronto
Department of Mathematics
MAT223H1F
Linear Algebra I
Midterm Examination
October 26, 2006
A. Esterov, M. Shub, S. Uppal
Duration: 1 hour 50 minutes
Last Name:
Given Name:
Student Number:
Tutorial Code:
No calculators or other aids are allowed.
FOR MARKER USE ONLY
Question
Mark
1
/5
2
/5
3
/8
4
/10
5
/8
6
/10
7
/10
8
/4
TOTAL
/60
1 of 12
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document Indicate your answer for the true/false questions by shading in the box corresponding to
your choice. Each correct answer is worth 1 mark.
[5]
1.
For each of the following statements, determine whether the statement is guaranteed
to be true or is false.
(a)
For vectors
u
,
v
and
w
in
R
3
, if
u
is orthogonal to
v
and
v
is orthogonal to
w
, then
u
is orthogonal to
w
.
true
false
(b)
If
u
and
v
are two vectors in
R
3
, then there is a nonzero vector
w
∈
span
{
u
,
v
}
which is
orthogonal to
u
and
v
.
true
false
(c)
Let
n
be a vector in
R
3
and let
d
1
and
d
2
be real numbers with
d
1
6
=
d
2
. Then the
planes given by the vector equations
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 04/10/2010 for the course MAT MAT223 taught by Professor Uppal during the Fall '09 term at University of Toronto Toronto.
 Fall '09
 UPPAL
 Linear Algebra, Algebra

Click to edit the document details