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Putnam
1990 Putnam
A5
A5
Part of
1990 Putnam
Problems
(1)
Square matrices A and B
Source: Putnam 1990 A5
7/12/2013
If
A
\mathbf{A}
A
and
B
\mathbf{B}
B
are square matrices of the same size such that
A
B
A
B
=
0
\mathbf{ABAB}=\mathbf{0}
ABAB
=
0
, does it follow that
B
A
B
A
=
0
\mathbf{BABA}=\mathbf{0}
BABA
=
0
.
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