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Lecture
Controllability and Observability
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Related lectures (37)
Observability and Controllability
Explores observability and controllability in linear systems, emphasizing the significance of input decoupling for observability.
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State-Space Representation: Structure Theorem
Covers the structure theorem for state-space representations and companion forms.
State-Space Representation: Basics & Transformations
Covers the basics of state-space representation and explores transformations to different forms.
Eigenvalues and Eigenvectors in 3D
Explores eigenvalues and eigenvectors in 3D linear algebra, covering characteristic polynomials, stability under transformations, and real roots.
Controllability and Reachability
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Linear Independence and Basis
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Linear Algebra: Matrix Representation
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System Equivalence
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Linear Algebra: Matrix Operations and Basis
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Linear Algebra: Reduction of Linear Application
Covers the reduction of a linear application and finding corresponding reduced forms and bases.
Characteristic Polynomials and Similar Matrices
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Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.
Singular Value Decomposition: Applications and Interpretation
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Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.
Linear Algebra Basics
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Covers fundamental concepts in linear algebra, including linear equations, matrix operations, determinants, and vector spaces.
Linear Applications: Matrices and Transformations
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Covers linear applications, matrices, transformations, and the principle of superposition.
Linear Mapping Basics
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Covers the basics of linear mapping and coordinate systems.
Linear Algebra Review: Vector Spaces and Matrix Operations
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Offers a quick review of key linear algebra concepts essential for further topics.
Eigenvalues and Eigenvectors: Understanding Matrix Properties
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Explores eigenvalues and eigenvectors, demonstrating their importance in linear algebra and their application in solving systems of equations.
Singular Value Decomposition (SVD)
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Covers the Singular Value Decomposition (SVD) in detail, including properties of matrices and system linearity.
Matrix Operations: Linear Systems and Solutions
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Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.
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