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We then, when
would you like
to start?
you were having
trouble with linear
algebra?
and there are
some hard-
to-understand
concepts...
right now?
Yes.
But!
It is true that
linear algebra
is a prey
abstract
subject,
I don't reay
understand
the concept
of it a...
And the
calculations
sm way over
my h e a d.
An Overview of
Linear Algebra
Subspace
Linear
independence
Basis
Let’s s...
An Overview of Linear Algebra 15
The
calculations
aren't nearly
as hard as
they lk!
Rea y?
Oh! We,
that's a
relief...
But I sti don't
understand...
what is linear
algebra exactly?
You said it!
I wouldn't say it's
mile schl level,
but it's not far o.
Um...
e...
That's a tough
question to
Rea y?
Why?
We, it's prey
abstract stu.
But I' give it my
best sh ot.
And once you
understand
the basics, the
math behind
it is actuay
very simple.
16 Chapter 1 What Is Linear Algebra?
residing in an m-dimensional space
into a coesponding shape in an
n-dimensional space.
Oh!
We’ learn
to work with
matrices...
And
vectors...
with the goal of
understanding the
central concepts of:
• Linear
transformations
• Eigenvalues and
Eigenvectors
I s...
From thr to
two dimensions
From two to
thr dimensions
From two to the
same two dimensions
Matrices
Vectors
Matrices
Vectors
Eigenvalues and
eigenvectors
L
in
e
a
r
t
ra
n
s
fo
r
m
at
io
n
s
An Overview of Linear Algebra 17
So...
?
What exactly is it gd
interest, of course.
...
question,
didn'tyou?
While it is useful for a
multitude of purposes
indirectly, such as
earthquake-prfing
architecture, fighting
diseases, protecting
marine wildlife, and
generating computer
graphics...
Oh?
And mathematicians
and physicists are the
only ones who are
reay able to use the
subject to its fuest
potential.
A!
It doesn't stand that
we on its own, to be
completely honest.
Eh?
18 Chapter 1 What Is Linear Algebra?
So even if I
decide to study, it
won't do me any
gd in the end?
That's not what
I meant at a!
For example, for an aspiring
chef to excel at his job, he
has to know how to fiet
a fish; it's just considered
coon knowledge.
The same
relationship holds for
math and science students
and linear algebra;
weshould a know
howto do it.
I s...
Like it or not, it's just
one of those things
you've got to know.
Best not to fight
it. Just buckle
down and study,
and you' do fine.
I' try!
There is also a lot of