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Related lectures (25)

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

Covers the process of finding orthogonal bases and spectral decomposition of symmetric matrices.

Explores quadratic forms in IR³, matrix properties, diagonalization, and positive definite matrices.

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

Explores the physical sense of potentials, equilibrium between subsystems, and work and free energy in systems.

Covers matrix operations, including multiplication, transposition, powers, and inverses, and explains how to determine if a matrix is invertible.

Explores symmetric matrices, quadratic forms, diagonalization, and definiteness with examples and calculations.

Introduces symmetric and anti-symmetric matrices, matrix powers, inverses, elementary matrices, and matrix manipulation.

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

Explores spectral and singular value decompositions of matrices.