Linear Algebra Fundamentals

Related lectures (27)

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Explores linear transformations, matrices, surjective, injective, and bijective properties, symmetric transformations, and matrix equivalence.

Covers linear independence, bases, and coordinate systems with examples and theorems.

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

Covers linear transformations between polynomial spaces and explores examples of linear independence and bases.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.

Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.

Covers linear transformations using matrices, focusing on linearity, image, and kernel.

Covers linear dependence, independence, and applications in vector spaces.

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

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