Lectures related to The Matrix: The Question That Drives Us

Explains the construction of U, verification of results, and interpretation of SVD in matrix decomposition.

Covers the definitions and properties of matrices, including matrix operations and determinants.

Explores density operator matrix transformation in quantum physics and the implications of measuring the system, leading to state collapse.

Covers the reduction of a linear application and finding corresponding reduced forms and bases.

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

Explores the power of linear systems in control theory and data science.

Covers the basic operations on matrices, including addition, scalar multiplication, and matrix multiplication.

Covers matrix product, inverses, and properties of invertible matrices.