Question: 1. Consider the following matrix: O 2 O 2 (a) (2 pts, PDF) Determine the SVD (by hand) of the matrix and state the matrix-rank.

1. Consider the following matrix: O 2 O 2 (a) (2 pts, PDF) Determine the SVD (by hand) of the matrix and state the matrix-rank. You may use rref. (b) (2 pts, PDF) What is the 2-norm and Frobenius-norm of the matrix? (c) (2 pts, PDF) What are the rank-1 and rank-2 approximations to the matrix? You must compute these by hand

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