Linear Differential Equations: Part 1

Related lectures (27)

Page 2 of 3

Covers linear differential systems, matrix formulation, unique solutions, and changing variables using invertible matrices.

Explores eigenvalues and eigenvectors, demonstrating their importance in linear algebra and their application in solving systems of equations.

Covers matrix operations, focusing on the product and inverse of matrices.

Explores matrix equivalence theorems for systems of equations and least squares solutions.

Covers the definition and properties of matrix norms and the exponential of matrices.

Explores matrices, inverses, and their applications in linear algebra, emphasizing composition and transformation properties.

Covers the analysis of speed variation using differential equations and small time intervals.

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

Covers the basics of matrix inversion, properties of matrix multiplication, and the uniqueness of matrix inverses.

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.