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2. (20 points) (a) (10 points) Work out the singular value decomposition (SVD) for the following matrix by hand. List the key steps of your

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2. (20 points) (a) (10 points) Work out the singular value decomposition (SVD) for the following matrix by hand. List the key steps of your calculation. 11 A=10 01 (b) (10 points) Consider the matrix OMIH Q NIF'OOQ COW v and vectors Which of v,w is/are an eigenvector(s) of A and what are their eigenvalues? You should solve this Without much calculation

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