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Related lectures (27)

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

Covers the basics of matrix inversion, properties of matrix multiplication, and the uniqueness of matrix inverses.

Covers matrix operations and reduction to echelon form with practical examples.

Covers the concept of inverse matrices and systems resolution, including the conditions for matrix invertibility and the Gauss-Jordan algorithm.

Covers matrix product, inverses, and properties of invertible matrices.

Covers the basics of linear mapping and coordinate systems.

Explores linear applications in R² and matrix representation, including basis, operations, and geometric interpretation of transformations.

Introduces key concepts in linear algebra, including matrices, operations, and numerical invariants.

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

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