Linear Equations: Introduction and Solutions

Related lectures (30)

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Explores systems of linear equations, elementary operations, augmented matrices, and Gaussian elimination algorithm.

Covers the fundamentals of linear equations systems, including definitions, representations, and solution methods.

Explores finding particular solutions for homogeneous differential equations, emphasizing linear independence and variation of constants.

Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.

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

Covers second-order linear homogeneous differential equations and their solutions.

Covers the existence and uniqueness of solutions for first-order differential equations and the superposition principle.

Covers second-order linear differential equations and their solutions, including the method of variation of constants.

Explores non-linear equations using the dichotomy method for finding zeros with tolerance.