Defective matrix

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Covers the Bloch sphere representation and Larmor precession in spin 1/2 systems.

Explains the postulates of Quantum Mechanics, focusing on self-adjoint operators and mathematical notation.

Covers the method of diagonalization for determining if a non-square matrix A is diagonalizable.

Explores canonical equations, integrable systems, trajectories, and the symplectic matrix in understanding system dynamics.

Covers the decomposition of a matrix into its eigenvalues and eigenvectors, the orthogonality of eigenvectors, and the normalization of vectors.

Covers the criteria for diagonalizing a matrix and provides illustrative examples.

Explains the diagonalization of linear transformations using eigenvectors and eigenvalues to form a diagonal matrix.

Covers the diagonalization of matrices with distinct eigenvalues and the importance of this process.

Explores PCA for predicting medals distribution and compressing face images.