Lectures related to Matrix Row Rank and Column Rank

Covers elementary row operations, equivalent matrices, invertibility, and bases in linear algebra.

Explores the equivalence between different properties of linear transformations represented by matrices and various matrix operations.

Explores properties of 3x3 matrices with real coefficients and determinant calculation methods.

Covers the basics of linear mapping and coordinate systems.

Explores characteristic polynomials, similarity of matrices, and eigenvalues in linear transformations.