Lectures related to Space diagonal

Explains methods for finding eigenvalues in linear algebra through examples.

Explores the diagonalization of matrices through eigenvectors and eigenvalues.

Diagonalization of Matrices: Theory and Examples

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

Diagonalisation of Moment of Inertia

Explores diagonalization of moment of inertia and principal directions in orthonormal base vectors.

Continuum Mechanics: Forces and Deformation

Covers continuum mechanics, forces transmission, energy conservation, solid deformation, and tensor calculus, emphasizing the symmetry of principle strains and the geometric interpretation of eigen vectors.

Symmetric Matrices and Quadratic Forms

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

Systems of Differential Equations

Covers the solution of a 2x2 system of differential equations using matrix notation and explores stability methods and specific cases.