Determinants

Explore the fundamental concepts of determinants in linear algebra through a comprehensive 90-minute lecture that covers a wide range of topics. Delve into the relationship between determinants and row-reduction, understand the Vandermonde determinant, and discover beautiful determinant derivations. Learn practical applications such as Cramer's Rule, calculating inverses using determinants, and determining areas of parallelograms and volumes. Engage in a determinant battle and master quick determinant tricks to enhance your problem-solving skills in this essential mathematical subject.

Determinants and Bomberman.
Determinants and row-reduction.
Vandermonde Determinant.
Vandermonde Determinant.
Vandermonde Determinant.
Beautiful determinant ?.
Cramer's Rule.
Inverses using determinants.
Area of a parallelogram.
Determinants and Volumes.
Determinant Battle.
Quick determinant trick.
a beautiful determinant derivation.