This problem is on principal component analysis (PCA). The set of data points is {x1, x2,...

  

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This problem is on principal component analysis (PCA). The set of data points is {x1, x2, x3}. These are x = [10], x2 = [1-1], x3 = [01] Determine the principal component of these data points. Use only the dominant eigenvalue. Also determine the corresponding error in the approximation two dif- ferent ways. Hint: See one of your assignments. Write explicitly the steps, as shown in the assignment problem. This problem is on principal component analysis (PCA). The set of data points is {x1, x2, x3}. These are x = [10], x2 = [1-1], x3 = [01] Determine the principal component of these data points. Use only the dominant eigenvalue. Also determine the corresponding error in the approximation two dif- ferent ways. Hint: See one of your assignments. Write explicitly the steps, as shown in the assignment problem.