Linear Algebra Basics

Related lectures (23)

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Explores matrix operations, linear systems, solutions, and the span of vectors in linear algebra.

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

Covers orthogonality, scalar products, orthogonal bases, and vector projection in detail.

Explores orthogonality, norms, and distances in vector spaces for solving linear systems.

Explores bases, dimensions, and matrix ranks in vector spaces with practical examples and proofs.

Explores vector spaces in three dimensions, covering linear combinations, subspaces, and properties of families of vectors in R³.

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

Covers strategies for matrix operations and the concept of vector spaces.

Introduces abstract concepts in linear algebra, focusing on operations with vectors and matrices.

Introduces linear combinations in vector spaces, operations, and polynomials of degree 2.