Lecture

Linear Equations: Introduction and Solutions

Related lectures (30)

Covers the introduction and solutions of linear equations, including methods for solving systems and determining the number of solutions.

Introduces linear equations, matrices, systems of equations, and solution sets for 2 or 3 unknowns.

Covers the general solution of inhomogeneous differential equations and explores linear dependence, uniqueness theorems, and second-order equations.

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

Covers the definition of linear equations, systems, solutions, and representations in 2D and 3D.

Introduces linear equations with real coefficients, systems, solutions, and representations in 2D and 3D spaces.

Covers the fundamentals of linear equations, systems, solutions, and graphical representation.

Covers first-order differential equations, including linear equations and applications in physics.

Covers the resolution of linear equations, focusing on trigonometric equations and elementary concepts.

Explores canonical transformations, focusing on existence, equations, simplicity, and differential equations' theory.

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.