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Diagonalization of Matrices Explained by Phumelele Thembelihle Hadebe is a document available to read on EtoBox.
What is Diagonalization of Matrices Explained about?
The document discusses diagonalization, which is a process of finding a diagonal matrix D that is similar to a given non-diagonal matrix A. It is shown that a matrix A is diagonalizable if and only if A has n linearly independent eigenvectors. If A has n linearly independent eigenvectors, then A can be diagonalized by setting the columns of the invertible matrix P to be the eigenvectors of A, and the diagonal entries of D to be the corresponding eigenvalues. Then P^-1AP = D, demonstrating that A is similar
- Author
- Phumelele Thembelihle Hadebe
- Language
- EN