Linear Algebra: Matrix Operations and Orthogonality

Related lectures (28)

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Covers matrix operations, scalar product, orthogonality, and bases in vector spaces.

Covers elementary matrix operations and vector spaces, including properties and conditions for invertibility.

Covers scalar products, orthogonal vectors, norms, and projections in vector spaces, emphasizing orthonormal families of vectors.

Introduces orthogonal families, orthonormal bases, and projections in linear algebra.

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

Covers vector spaces, scalar products, norms, and forms of polarization in standard properties.

Explores orthogonality, triangle inequality, and the Pythagorean theorem in vector spaces.

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

Covers fundamental concepts in linear algebra, including linear equations, matrix operations, determinants, and vector spaces.

Covers diagonalization of matrices, eigenvectors, linear maps, and least squares method.