Nilpotent matrix

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Covers the proof of primary decomposition theorem for endomorphisms of finite-dimensional vector spaces.

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Explores the complexity of rotations in 3D space, covering moment of force, energy equivalence, and cross product matrices.

Explores challenges and opportunities in networked control systems, covering LTI systems, delays, packet drops, and consensus.

Covers the Jordan normal form and the decomposition of vector spaces by an endomorphism.

Explores eigenvalues, eigenvectors, and diagonalizable transformations through various examples.

Covers the concept of eigenvalues and eigenvectors in linear algebra, focusing on the properties of endomorphisms.

Covers Lyapunov stability theory, energy functions, positive-definite matrices, and system stability analysis through examples and theorems.

Covers the basics of control networks, linear matrix inequalities, and networked control systems.