************************* Part 1 *******************************

mean for set 1: [-2.0000, 2.0000]
mean for set 2: [2.0000, -2.0000]

************************* Part 2 *******************************

The test set:

x1: [-1, -1]
x2: [0, 0]
x3: [0.5, 0.5]
x4: [0.5, -0.5]

************************* Part 3 *******************************

Test set membership before transformations:

x1  is equal distance from set1 and set2
Euclidean distances:
x1 & set1 mean: 3.1623
x1 & set2 mean: 3.1623

x2  is equal distance from set1 and set2
Euclidean distances:
x2 & set1 mean: 2.8284
x2 & set2 mean: 2.8284

x3  is equal distance from set1 and set2
Euclidean distances:
x3 & set1 mean: 2.9155
x3 & set2 mean: 2.9155

x4  belongs to set2
Euclidean distances:
x4 & set1 mean: 3.5355
x4 & set2 mean: 2.1213

************************** Part 4 *******************************

Test set membership after LDA:

x1 belongs to set 2
Euclidean distances:
x1 & set1 mean: 3.1176
x1 & set2 mean: 2.9287


x2 belongs to set 2
Euclidean distances:
x2 & set1 mean: 2.7614
x2 & set2 mean: 2.4705


x3 belongs to set 2
Euclidean distances:
x3 & set1 mean: 2.8546
x3 & set2 mean: 2.5926


x4 belongs to set 2
Euclidean distances:
x4 & set1 mean: 3.4518
x4 & set2 mean: 1.8529