Lectures related to Kim Il Sung

Covers bilinear forms in vector spaces, their properties, orthogonality, and equivalence conditions.

Explores orthogonality, eigenvalues, and diagonalization in linear algebra, focusing on finding orthogonal bases and diagonalizing matrices.

Explores Sylvester's Theorem and the importance of orthogonal bases in linear algebra.

Explores the Spectral Theorem, emphasizing the Min-Max Criterion for symmetric matrices and the properties of positive definite matrices.

Explores linear algebra over integers, emphasizing solutions to A.x=b equations and Hermite normal form.