Symmetric Matrices: Diagonalization

This lecture covers the concept of symmetric matrices and their diagonalization. It explains that a matrix is symmetric if its transpose is equal to itself. The process of diagonalization is discussed, showing that a symmetric matrix is always square. The lecture also delves into the determinant of a symmetric matrix and its properties, such as eigenvalues and eigenvectors. The instructor, Marialuisa Cusani, emphasizes the importance of understanding the properties of symmetric matrices for various mathematical applications.