Properties of determinants
Matrices and determinants (introductory) · Mathematics
Study notes
Q: If det(A) = 5 for 3×3 A, find (a) det(2A) (b) det(Aᵀ) (c) det after swapping two rows. (a) Each of 3 rows ×2: det(2A) = 2³ × 5 = 40. (b) det(Aᵀ) = 5. (c) Row swap flips sign: -5.