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(Solved): Matrix decompositions, such as spectral decomposition and the singular value decomposition (SVD), ar ...
Matrix decompositions, such as spectral decomposition and the singular value
decomposition (SVD), are essential tools in linear algebra and numerical analysis with
broad applications in engineering.
(a) Find a spectral decomposition of following matrices:
[[1,2,2],[2,1,2],[2,2,1]],[[2i,0,0],[0,1+i,-1+i],[0,-1+i,1+i]]
(b) Research and study the singular value decomposition (SVD), then compute the
singular value decomposition of following matrices:
[[2,2,-2],[-4,-1,4],[-4,2,4]],[[1,1,1,1],[2,2,-2,-2],[3,-3,3,-3]]