Linear Applications Overview

Related lectures (28)

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Explores geometric transformations in R2 and R3, including linear transformations, projections, matrices, and trace properties.

Covers matrix transposition, rank, and basis change in linear algebra, exploring invertibility criteria and basis relationships.

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

Explores vector space operations, linear transformations, matrix representation, and linear applications.

Explores the vectorial structure of linear applications, including addition, scalar multiplication, and matrix representation.

Covers the definition of linear applications in IR³ to R³ and explores examples and properties.

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

Covers operations on linear applications in R³, including definitions, behavior of compositions, and determinants.

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

Explores matrix similarity, diagonalization, characteristic polynomials, eigenvalues, and eigenvectors in linear algebra.