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

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Calculating Inverse Matrices 93
That's t
bad...
Actually...we also
could have solved
1
a
11
a
21
a
12
a
22
with...
...this formula
right here.
Huh?
Let's aly
the formula
to our
previous
example:
3
1
1
2
We got
the same
answer as
last time.
Why even bother with
the other method?
Ah, we...
This formula only works
on 2×2 matrices.
If you want to find
the inverse of a
bier matrix, I'm
afraid you're going
to have to sele for
Gauian elimination.
H
94 Chapter 4 More Matrices
Next, I thought
I'd show you how
to determine
whether a matrix
has an inverse
ornot.
So...some matrices
lack an inverse?
1
3
1
6
2
Let's
s...
Oh, the
denominator
becomes zero.
I gue you're
right.
One last thing:
theinverse of an
invertible matrix
is, of course,
alsoinvertible.
Makes
sense!
Invertible
Not
invertible
Yeah. Try to calculate the
inverse of this one with the
formula I just showed you.

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