Diagonalization of a Matrix – Part 02: Advanced Concepts and Applications

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In this continuation of matrix diagonalization, we delve deeper into the diagonalization process, focusing on complex matrices and more advanced applications. Diagonalization involves finding a diagonal matrix that is similar to a given square matrix by transforming it using its eigenvalues and eigenvectors. This process simplifies matrix powers and exponentials, which are useful in solving systems of linear differential equations, quantum mechanics, and other fields of mathematics. Learn how to identify if a matrix is diagonalizable, handle defective matrices, and explore real-world applications of diagonalization.

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