Given 6 data points in 5-d space, (1,1,1,0,0), (-3, -3, -3,0,0), (2, 2, 2,0,0), (0,0,0,-1,-1), (0,0,0,2,2), (0,0,0,-1,-1

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Given 6 Data Points In 5 D Space 1 1 1 0 0 3 3 3 0 0 2 2 2 0 0 0 0 0 1 1 0 0 0 2 2 0 0 0 1 1 1 (124.56 KiB) Viewed 18 times

Given 6 data points in 5-d space, (1,1,1,0,0), (-3, -3, -3,0,0), (2, 2, 2,0,0), (0,0,0,-1,-1), (0,0,0,2,2), (0,0,0,-1,-1). We can represent these data points by a 6 x 5 matrix X, where each row corresponds to a data point: 1 0 1 -3 0 0 0 0 1 -3 2 0 0 X = ooon do اول تا ه ه ه -1 2 0 -1 2 -1 0 -1 (a) What is the sample mean of the dataset? (b) What is SVD of the data matrix X you choose? Hints: The SVD for this matrix must take the following form, where a, b, c, d, 01,02 are the parameters you need to decide. a 07 -3a 0 2a 0 X= Х 0 b 0 -2b LO b [6 ]xL X с 0 с 0 Od al