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Putnam
1947 Putnam
A6
A6
Part of
1947 Putnam
Problems
(1)
Putnam 1947 A6
Source: Putnam 1947
4/3/2022
A
3
×
3
3\times 3
3
×
3
matrix has determinant
0
0
0
and the cofactor of any element is equal to the square of that element. Show that every element in the matrix is
0.
0.
0.
Putnam
linear algebra
matrix
Cofactor