Lectures related to Determinants: Expansion Theorems and Cramer's Formula

Explores multilinear groin and determinants, including the Sarrus rule and proof by induction.

Introduces linear equations, matrices, systems of equations, and solution sets for 2 or 3 unknowns.

Explores the Newton method for non-linear equations, discussing convergence criteria and stopping conditions.

Covers the Gaussian elimination method for solving linear equations using row operations on matrices.

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

Covers the definition and solution of linear equations with real coefficients in 2D and 3D space.

Covers the definition of 3x3 matrices, determinants, matrix operations, and invertibility.

Covers the introduction and solutions of linear equations, including methods for solving systems and determining the number of solutions.