Question: 4. Suppose a data matrix X C Rx satisfies the property that there exists a vector a = (01, . ..;0m) such that for every

4. Suppose a data matrix X C R"x satisfies the property that there exists a vector a = (01, . ..;0m) such that for every data point X,, the entries satisfy XLa=0 Isism. Suppose that the rank of X is n -1. Let X = U (o) VT be an SVD for X, Determine the components of the vector , and explain your

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