Linear Algebra: Linear Transformations and Matrices

Related lectures (26)

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

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

Introduces vector spaces, subspaces, linear maps, and evaluation maps, with examples and exercises for better comprehension.

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

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

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

Covers linear applications, matrices, transformations, and the principle of superposition.

Covers the definition and examples of vector spaces, including subspaces and linear transformations.

Covers vector spaces, operations, and linear independence with examples from polynomials and functions.

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