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Putnam
1968 Putnam
B5
B5
Part of
1968 Putnam
Problems
(1)
Putnam 1968 B5
Source: Putnam 1968
2/19/2022
Let
S
S
S
be the set of
2
×
2
2\times2
2
×
2
-matrices over
F
p
\mathbb{F}_{p}
F
p
with trace
1
1
1
and determinant
0
0
0
. Determine
∣
S
∣
|S|
∣
S
∣
.
Putnam
matrix
finite fields