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Lecture
Linear Equations: Solutions and Conditions
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Linear Equations: Elementary Operations
Explores systems of linear equations, elementary operations, augmented matrices, and Gaussian elimination algorithm.
Linear Applications: Matrices and Transformations
Covers linear applications, matrices, transformations, and the principle of superposition.
Linear Equations: Matrix Notation & Solutions
Covers matrix notation for linear equations, solutions, and geometric interpretations.
Linear Equations and Matrix Calculations
Covers the fundamentals of linear equations, matrices, and systems of linear equations, including matrix operations and solutions.
Linear Differential Equations: Part 1
Covers the application of systems of linear differential equations of the first order.
Linear Equations Resolution
Covers the resolution of linear equations, focusing on trigonometric equations and elementary concepts.
Row-echelon and reduced row-echelon matrices
Explains row-echelon and reduced row-echelon matrices and their role in simplifying system resolution.
Matrix of Cofactors and Inverse Matrix Formula
Covers the concept of the matrix of cofactors and a formula to calculate the inverse of a matrix.