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The Manga Guide to Linear Algebra by Ltd. Trend-Pro Co., Iroha Inoue, Shin Takahashi

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Dimension 149
Dimension
You know,
I've bn
thinking.
It's kind of obvious
that a basis is made
up of two vectors
when in
R
2
and thr
vectors when in R
3
.
2 dimensions
R
2
3 dimensions
R
3
Set
Set
But why is it that
the basis of an
m-dimensional
space consists of n
vectors and not m?
Oh, wow...
I didn't think
you'd notice...
To answer that,
we' have to take
a lk at another,
more precise
definition of
bases.
There's also a
more precise
definition of
vectors, which
can be hard to
understand.
I'm up
forit!

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