Linear Equations and Matrices

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Related lectures (50)

Linear-second-order-odes Log in to Mediaspace to watch this video

Explores linear second-order ODEs with constant coefficients and methods for finding particular solutions.

Numerical Methods: Differential Equations Log in to Mediaspace to watch this video

Covers the application of numerical methods to solve differential equations using MATLAB.

Linear Differential Equations Log in to Mediaspace to watch this video

Covers the solution of linear differential equations and the concept of linearly independent solutions.

Linear Combinations and Matrix-Vector Product Log in to Mediaspace to watch this video

Explores linear combinations, matrix-vector product, and matrix equation solutions.

Finite Element Method: Applications and Formulations Log in to Mediaspace to watch this video

Explores the application and formulation of the finite element method in solving various engineering problems.

Orthogonal Linear Maps Log in to Mediaspace to watch this video

Covers orthogonal linear maps, orthogonal matrices, invertibility, and least squares solutions in Euclidean spaces.

Implicit Functions Theorem Log in to Mediaspace to watch this video

Explores the Implicit Functions Theorem, demonstrating how to find solutions to equations like x²+y²=1 through implicit differentiation and function properties.

Determinants: Expansion Theorems and Cramer's Formula Log in to Mediaspace to watch this video

Covers the expansion theorems for determinants and introduces Cramer's formula.

Distributions and Laplace Transform: Key Concepts Log in to Mediaspace to watch this video

Discusses distributions, the Laplace transform, and their applications in mathematical analysis.

Material Point Model: Basics Log in to Mediaspace to watch this video

Covers the material point model, initial conditions, and Newton's laws in physics.

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