Oxford Linear Algebra - The Easiest Method to Calculate Determinants

Explore the most straightforward method for calculating determinants in linear algebra through this comprehensive 27-minute video tutorial. Learn how to use Elementary Row Operations (EROs) to determine the determinant of a matrix, with a focus on a 4x4 matrix example. Begin with a recap of the determinant function and the three types of EROs. Discover how applying EROs to a matrix is equivalent to pre-multiplying by an elementary matrix, and understand the impact on the determinant using the multiplicative property. Calculate the determinant of each type of elementary matrix and summarize how EROs affect the overall determinant. Follow along with a fully worked example for a 4x4 matrix, gaining practical experience in this essential linear algebra technique. Access additional resources, including practice exercises and video solutions, to reinforce your understanding of determinants and EROs for matrices of various sizes.