Support the production of this course by joining Wrath of Math to access all my Linear Algebra videos plus lecture notes at the premium tier! 🛍 Check out my math fashion brand! Linear Algebra course: Linear Algebra exercises: Get the textbook! Business Inquiries: wrathofmathlessons@ We can calculate determinants using Gauss-Jordan elimination. If we reduced a matrix to triangular form the determinant is easy to calculate, then we can relate the determinant of the triangular matrix to the determinant of the original matrix by considering how the elementary row operations we performed must have changed the determinant. #linearalgebra How Row Operations Change the Determinant: Determinants by Cofactor Expansion: ★DONATE★ ◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: ◆ Donate on PayPal: Follow Wrath of Math on... ● Instagram: ● Twitter: