a) D(A) = A11 + A22 + A33
b) D(A) = A11 A22 A33
Recall: Let K be a commutative ring with identity, n a positive integer, and let D be a function which assigns to each matrix A over K a scalar in K. We say that D is n-linear if for each , D is a linear function of the ith row when the other
(n-1) rows are held fixed.
Determinant Functions and 3-Linear Functions are investigated. The solution is detailed and well presented. The response was given a rating of "5/5" by the student who originally posted the question.