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Formula:
The Sum of Determinants (S) for a series of matrices is simply the sum of each matrix's individual determinant:
S = det(M1) + det(M2) + ... + det(Mn)
Where det(M) represents the determinant of a matrix M.
- For a 2x2 matrix
M = [[a, b], [c, d]], its determinant is calculated as:det(M) = ad - bc. - For a 3x3 matrix
M = [[a, b, c], [d, e, f], [g, h, i]], its determinant (using Sarrus' rule or cofactor expansion) is calculated as:det(M) = a(ei - fh) - b(di - fg) + c(dh - eg).