Linear Algebra in 3D: Matrices and Determinants

Related lectures (30)

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Explores polynomial operations, properties, and subspaces in vector spaces.

Covers the properties and calculations of matrix determinants, including special cases and examples.

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

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

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

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

Explores solving systems of equations using matrices and determinants.

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

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

Covers fundamental matrix operations and their applications in solving linear equations.