Linear Algebra: Matrix Operations and Applications

Related lectures (27)

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

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

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

Covers the concept of basis, linear transformations, matrices, inverses, determinants, and bijective transformations.

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

Explores area determination, linear applications, matrix operations, and vector spaces.

Covers matrix kernels, images, linear applications, independence, and bases in vector spaces.

Introduces fundamental concepts in linear algebra, such as vector spaces and eigenvalues.

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

Explains orthogonal families, bases, and projections in vector spaces.