How do you prove the single row linearity of a determinant, I mean how is in matrix A + matrix B we sum ALL rows but in det(A) + det(B) we don't?####[[' single row linearity of a determinant', 'Mathematical_Related_Concept', 'NEU'], ['matrix A', 'Mathematical_Related_Concept', 'NEU'], [' matrix B ', 'Mathematical_Related_Concept', 'NEU'], ['det(A) + det(B) ', 'Mathematical_Related_Concept', 'NEU']]