Linear Differential Equations: Part 1

Related lectures (27)

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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.

Covers linear systems, diagonal and triangular matrices, and LU factorization.

Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.

Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.

Explains matrix operations, orthogonality, and least squares method in solving linear equations.

Covers the concept of the matrix of cofactors and a formula to calculate the inverse of a matrix.