Generalized Conservative Oscillator: Particular Solutions and Modal Base

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Covers the criteria for diagonalizing a matrix and provides illustrative examples.

Explains how to find free variables in matrix equations and analyze characteristic polynomials.

Covers the solutions of homogeneous linear differential equations and how to find linearly independent solutions.

Explores eigenvalues and eigenvectors in 3D linear algebra, covering characteristic polynomials, stability under transformations, and real roots.

Covers linear applications, diagonalizable matrices, eigenvectors, and orthogonal subspaces in R^n.

Explores the method of undetermined coefficients for solving non-homogeneous linear differential equations with constant coefficients.

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