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10 Nov 2019
For the m à n matrix A , A = U ? V T denotes the Singular Value Decomposition (SVD) of A ( U and V are orthogonal matrices and ? is diagonal, diagonal entries of ? are singular values of A )
i. If A ? 1 exists, what is its SVD?
ii. For square A show that det A = ± det D
iii. Show that the columns of V are eigenvectors of A^T A . What are the corresponding eigenval- ues?
For the m à n matrix A , A = U ? V T denotes the Singular Value Decomposition (SVD) of A ( U and V are orthogonal matrices and ? is diagonal, diagonal entries of ? are singular values of A )
i. If A ? 1 exists, what is its SVD?
ii. For square A show that det A = ± det D
iii. Show that the columns of V are eigenvectors of A^T A . What are the corresponding eigenval- ues?
Beverley SmithLv2
22 Jan 2019
