Lecture

Spectral Theorem Recap

In course

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Description

This lecture revisits the spectral theorem for symmetric matrices, emphasizing orthogonally diagonalizable properties and its equivalence with symmetric bilinear forms. The method for orthogonally diagonalizing a symmetric matrix is explained step by step, highlighting the importance of constructing the proper base. Advanced concepts such as the best orthogonal form and the tensor of inertia for a rigid body are also covered.

Instructor

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Official source

https://mediaspace.epfl.ch/media/0_8p4ubue9

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Ontological neighbourhood

Mathematics

Algebra: Linear algebra

Physics

Mechanics: Classical mechanics

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