the problem in the picture

Principal Components analysis [PCA) {15 poo-its} Problem 5. Consider 3 data points in the I-d space: {-1,-1}. (0,1)}. {1.1}. a} 1Mint is the first principal component (write down the actual vector)? h) Ifwe project the original data points into the l-d subspace by the principal component you choose, what are their coordinates in the Hi subspace? And what is the variance ofthe projected data? c} For the projected data you just obtained a'oot-"e, now ifwe represent them in the original 2-11 space and consider them as the reconstruction ofthe original data points+ what is the reconstruction error