Problem #72
Let
M
n
denote the
n
×
n
matrix whose first row consists of the integers 1,2,3,...,
n
in order and each row is a cyclic shift (to the right) of the previous row. For example
M
4
is shown below.
1
2
3
4
4
1
2
3
3
4
1
2
2
3
4
1
Find det(
M
n
).
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