Abstract
If Mi j are minors of an n × n determinant D with elements aij (1 ≤ i, j ≤ n), then we prove the following relationship where Mk is any square sub matrix of order k of the matrix of minors M, δk is the determinant of a submatrix of D of order (n − k) taking the complements of the row/column positions that was used in Mk , and 1 ≤ k ≤ n. The above relation generalizes the trivial case for k = 1 and is consistent with the proven relationship for k = n when δn is taken as 1.
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