Orthogonal Vectors: Vector Subspace and Dimension

Related lectures (24)

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Explains linear independence, basis, and matrix rank with examples and exercises.

Covers vector spaces, subspaces, kernel, image, linear independence, and bases in linear algebra.

Covers the concept of orthogonal complement and projection in vector spaces.

Explores vector spaces, subspaces, bases, and linear combinations in R² and R³, including free and linked families.

Covers vector spaces, operations, and linear independence with examples from polynomials and functions.

Covers orthogonal families and projections in vector spaces, including the Gram-Schmidt process.

Covers the concept of orthogonal complement in Rn and related propositions and theorems.

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

Explains kernel, image, and linear maps, illustrating concepts with examples.

Explores subspaces in linear algebra and transformations, including kernels and images of linear transformations.