Linear Differential Equations: Part 1

Explores the exponential of a matrix, properties, Frobenius norm, nilpotent matrices, commutativity, and system solutions.

Covers the fundamentals of linear equations, matrices, and systems of linear equations, including matrix operations and solutions.

Covers methods to solve linear differential equations in systems with initial conditions.

Explores forced oscillator dynamics, resonance, waiting time for maximum amplitude, and differential equations.

Explores the properties of invertible matrices, including unique solutions and linear independence.