Explore three distinct methods for calculating the determinant of a 3x3 matrix in this comprehensive 12-minute video tutorial. Learn how to apply cofactor expansion, utilize the diagonal trick, and employ row operations to solve linear algebra problems. Follow along with step-by-step explanations and practice with a hands-on exercise to reinforce your understanding. Gain valuable insights into determinants and their applications in linear algebra, preparing you for more advanced concepts in the field.