Abstract
This paper proposes to define a dyadic determinant function as the n-th exterior power of an array. When the array is a square matrix and n is its row (or column) number, we obtain as a limit case the usual monadic determinant function. This approach provides a natural definition of the determinant of a non-square array as used in Lagrange's identity or Laplace's rule of expanding determinant. On the other hand, the successive exterior powers of a matrix provide a direct means of computing the coefficients of its characteristic polynomial.
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