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Related lectures (29)

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Linear Algebra: Matrix Representation of Linear Applications

Explores matrix representation of linear applications, emphasizing eigenvalues and bases.

Polynomial Characteristic and Eigenvalues

Covers the concept of polynomial characteristic of a matrix and its relation to eigenvalues.

Characteristic Polynomial: Definition & Examples

Explains the characteristic polynomial of a matrix and its importance in linear algebra.

Polynomial Division: Terms and Factors

Covers polynomial division, terms, factors, and integration methods.

Matrix Eigenvalues and Eigenvectors

Covers matrix eigenvalues, eigenvectors, and their linear independence.

Cyclic Subspace Decomposition

Explores minimal annihilating polynomials and cyclic invariant subspaces, showcasing their practical applications through matrix computations.

System Equivalence

Explores system equivalence, state-space representation, transfer functions, and Euclidean rings, emphasizing unimodular matrices and their properties.

Linear Differential Equations

Covers linear differential equations of order n with constant coefficients and how to find their general solutions.

Linear Algebra Basics

Covers fundamental concepts in linear algebra, including linear equations, matrix operations, determinants, and vector spaces.

Polynomial Methods: GCD Calculation Summary

Covers the calculation of the greatest common divisor using polynomial methods and the Euclidean algorithm.