1. Find the singular values of the following matrices [points 12] b. 0 1 1 1 0 5 2V/5 51 2. Find the SVD of [points 18] 1 a. 1 1 2 b. 2 -1 I'll 3. For the matrix A = 0 2 o is the following a valid SVD? Justify your answer without computing the SVD of A [points 6] 909 4. You have a data matrix of size D = M X N, to reduce the size you decomposed D using SVD and obtained the matrix U, E and VT and say the rank of the matrix is R. How would you modify U or V to obtain an approximate but reduced version of D? You will receive points on this problem for explaining your independent thought processing, not simply copying from Wikipedia. [points 4]