Controllability of Linear Systems

Related lectures (25)

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Explores the properties of invertible matrices, including unique solutions and linear independence.

Explores determinants in 3D space and their role in linear algebra.

Covers linear applications, matrices, transformations, and the principle of superposition.

Covers linear algebra basics, including matrices, change of basis, and invertible matrices.

Explores linear applications in 3D, emphasizing images, kernels, and solution uniqueness in systems.

Explores matrix operations, rank determination, kernel dimensions, and basis concepts in linear algebra.

Covers the matrix representations of linear applications and the equivalence between matrices.

Covers the properties and operations of vector spaces, including addition and scalar multiplication.

Explores multilinear groin and determinants, including the Sarrus rule and proof by induction.

Covers the theory and examples of diagonalizing matrices, focusing on eigenvalues, eigenvectors, and linear independence.