Inertia Benchmark: Main Axes and Diagonal Elements

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Explains the inertia tensor, main axes, principal moments, and balancing of rotating solids.

Covers fundamental linear algebra concepts like vector spaces and eigenvalues.

Covers the basics of linear algebra, including matrix operations and singular value decomposition.

Explores angular momentum transfer theorem, inertia tensor, and principal moments of inertia.

Explains the Principal Axes Theorem for symmetric matrices and quadratic forms, showing the existence of orthogonal matrices for diagonalization.

Covers the basics of linear mapping and coordinate systems.

Covers symmetric matrices, eigenvalues, and diagonalization process for spectral theorem applications.

Explores normal equations, pseudo-solutions, unique solutions, and symmetric matrices in linear algebra.

Explores changing frames in 2D through translations, rotations, and the introduction of a transformation matrix U.

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