University of Toronto at Scarborough
MAT B24S
Fall 2007
Assignment #5
You are expected to work on this assignment prior to your tutorial in the
week of October 15th. You may ask questions about this assignment in that
tutorial.
In the week of October 22nd you will be asked to write a quiz based
on this assignment and/or related material from the lectures and textbook
readings.
TEXTBOOK:
Linear Algebra, 3rd edition
Fraleigh Beauregard
READ:
Lecture notes 79
Sections 7.1, 7.2
PROBLEMS:
1. Section 7.2: 2, 4, 12, 18, 22, 26, 27.
2. Let
T
:
P
2
→
P
2
be a linear transformation deﬁned by
(a)
T
(1) = 1 + 2
x
(b)
T
(
x
) =

1 + 4
x
(c)
T
(
x
2
) = 1

x
+ 3
x
2
Find
T
99
(

2

3
x
+ 4
x
2
)
3. In one of the questions in your quiz next week you will be asked to
write 3 deﬁnitions of the following terms:
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View Full Documentlinear independence
span
basis
subspace
linear transformation
domain
codomain
range
rank
kernel
nullity
one to one
onto
isomorphism
rank equation
coordinate vector relative to a basis
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 Spring '10
 X.Jiang
 Math, Linear Algebra, Algebra, linear transformation, algebraic multiplicity, Fraleigh Beauregard

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