Linear Algebra: Matrices and Operations

Related lectures (26)

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

Covers matrices, linear applications, vector spaces, and bijective functions.

Covers matrix operations, focusing on the product and inverse of matrices.

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

Explores linear combinations of vectors and matrices in Rn, demonstrating geometric interpretations and matrix operations.

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

Explores matrix multiplication, inverses, transposition, and determinants in linear algebra.

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

Explores determinants, similarity invariance, Cramer's formula, and geometric interpretations in matrices.

Covers matrix multiplication, properties, and inverses in linear algebra.