************************* 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 *******************************

Whitening transforms:

tranform 1:[1.0203 -0.9224]
           [0.3026  0.3347]
tranform 2:[1.4807  1.0994]
           [-0.7490 1.0088]

************************* Part 5 *******************************

Test set membership after transformations:

x1  belongs to set1
Euclidean distances:
x1 & set1 mean: 3.8518
x1 & set2 mean: 4.6664

x2  belongs to set2
Euclidean distances:
x2 & set1 mean: 3.8858
x2 & set2 mean: 3.5975

x3  belongs to set2
Euclidean distances:
x3 & set1 mean: 3.9424
x3 & set2 mean: 3.6835

x4  belongs to set2
Euclidean distances:
x4 & set1 mean: 4.8572
x4 & set2 mean: 2.6981

************************* Part 6 *******************************

Covariance of transformed data sets:

set 1: [1.0000  -0.0000]
       [-0.0000  1.0000]
set 2: [1.0000  0.0000]
       [0.0000  1.0000]