Change of Base in Linear Applications

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

Explores multilinear groin and determinants, including the Sarrus rule and proof by induction.

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

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

Explores linear applications, matrices, injectivity, unique solutions, and matrix operations.

Explores the Rank Theorem in linear algebra, covering matrix properties and determinants.

Explores unique solutions, linear dependence, canonical bases, and linear maps in linear algebra.

Covers the matrix representations of linear applications and the equivalence between matrices.

Explores linear algebra fundamentals, including key definitions, theorems, and practical applications in mathematics and technology.

Covers the theory and examples of diagonalizing matrices, focusing on eigenvalues, eigenvectors, and linear independence.