Concept

Invariant subspace

Related lectures (28)

Covers the basics of linear algebra, emphasizing the identification of subspaces through key properties.

Covers tangent spaces and submersions in differential geometry, emphasizing vector spaces and differentiable structures.

Explores orthogonality between vectors and subspaces, demonstrating practical implications in matrix operations.

Explains orthogonal projection on a vector subspace in Euclidean space.

Explores interpolation spaces in Banach spaces, emphasizing real continuous interpolation spaces and the K-method.

Explains orthogonal matrices, Gram-Schmidt process, and best vector approximation in subspaces.

Covers determining vector spaces, calculating kernels and images, defining bases, and discussing subspaces and vector spaces.

Covers the weak formulation of elliptic partial differential equations and the uniqueness of solutions in Hilbert space.

Explores vector subspaces and linear combinations in linear algebra, focusing on the reciprocal relationship between lines, columns, and elements.

Explores orthogonal projection in Euclidean space, emphasizing uniqueness and calculation methods.

Covers kernels and images of linear transformations between vector spaces, illustrating properties and providing proofs.

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

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

Explores polynomial operations, properties, and subspaces in vector spaces.

Explores norms, orthogonality, and the Pythagorean theorem in vector spaces.

Covers examples of stable vector subspaces and how to find eigenvalues.

Covers the definition of vector spaces, subspaces, and linear combinations of vectors.

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

Explores orthogonal projection calculation and orthonormal bases uniqueness through matrix operations.

Explores the orthogonal subspace in a vector space, demonstrating its properties and dimension determination.