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Putnam
1988 Putnam
A6
A6
Part of
1988 Putnam
Problems
(1)
Putnam 1988 A6
Source:
8/6/2019
If a linear transformation
A
A
A
on an
n
n
n
-dimensional vector space has
n
+
1
n+1
n
+
1
eigenvectors such that any
n
n
n
of them are linearly independent, does it follow that
A
A
A
is a scalar multiple of the identity? Prove your answer.
Putnam