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What is Matrix Square and nth Roots Explained about?
The document discusses methods for finding the nth roots of matrices. It begins by defining the nth root of a matrix B as a matrix whose nth power equals the original matrix A. It then describes how to find roots of diagonal matrices by taking the nth root of each diagonal entry. The document also discusses using diagonalization or the Jordan normal form to compute roots of diagonalizable matrices, and methods like the Babylonian method. Finally, it notes that matrix roots relate to linear transformations a
- Author
- arvind lakshmi ranjan
- Language
- EN