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y=
x
_ 1
3
_
y=
3
x
)
(
0
0
x'
y'
()
x
y
()
In short, we can write
µ
x
y
¶
A
7→
µ
x
0
y
0
¶
B
7→
µ
0
0
¶
.
Since the matrix product
BA
corresponds to the composition of
A
followed by
B
,we
conclude
BA
µ
x
y
¶
=
µ
0
0
¶
,
and
BA
must be the zeromatrix
0
, i.e.
BA
=
µ
00
00
¶
.
6. The transformation
A
maps an arbitrary point
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This note was uploaded on 04/12/2011 for the course MATH 33a taught by Professor Lee during the Fall '08 term at UCLA.
 Fall '08
 lee

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