Introduction to Linear Transformations

Related lectures (25)

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

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

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

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

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

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

Explores linear combinations, matrix-vector product, and matrix equation solutions.

Explores the properties of invertible matrices, including unique solutions and linear independence.

Explores eigenvalues and eigenvectors, demonstrating their importance in linear algebra and their application in solving systems of equations.

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