Linear Maps and Matrices

Related lectures (28)

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Covers linear equations, vectors, and matrices, exploring their fundamental concepts and applications.

Explores linear algebra concepts through examples and theorems, focusing on matrices and their operations.

Covers the definition and basic operations of matrices, including addition, scalar multiplication, and matrix multiplication.

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Covers matrix calculus, including operations and determinants.

Explores injective and surjective linear transformations, kernel, image, and matrix operations.

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

Explores matrices, inverses, and their applications in linear algebra, emphasizing composition and transformation properties.

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

Explores linear applications, matrices, injectivity, unique solutions, and matrix operations.