System Equivalence

Related lectures (29)

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Covers the definition and basic operations of matrices, including addition, scalar multiplication, and matrix multiplication.

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Covers the Chinese remainder theorem for commutative rings and integers, polynomial rings, and Euclidean domains.

Introduces the basics of polynomials on a field, focusing on definitions, operations, and properties.

Covers polynomials, their operations, division theorem, and provides illustrative examples.

Covers controllability and observability in linear systems, discussing necessary conditions and implications of unimodular matrices.

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

Covers the fundamentals of polynomials, endomorphisms, division, roots, matrices, and algebraic homomorphisms.

Covers matrix operations and reduction to echelon form with practical examples.

Explores vector subspaces in R4, symmetric matrices, basis vectors, and canonical forms.