Need proper solution with complete working.That is complete question Statement.

Output w31 w32 w30 W10 y1 Hidden bias w20 w11 w12 w22 w21 X1 Input Figure 1: A 3 layer network. 2. Consider 6 data points in the two dimensional space: (-6 - 5). (-2, -2). (-1,5). (5, -3), (6, 4) and (10, 7). (a) What will be the first principal component direction for this data? What will be the second principal component direction for this data? (b) Assume we project the original data points into the one dimensional subspace spanned by the first principal com- ponent direction. Find the coordinate of each data point in the one dimensional subspace. (c) If we represent the projected data points in the original two dimensional space and consider them as the reconstruct tion of the original data points, what is the reconstruction error for each data point? 3. Let A and B be two sequences, where A : 002311, B : 02111. Assume d(z, y) = (x - y| when a and y are integers and d(x, -) = d(-, y) = 2. Find an alignment using dynamic programming such that the total distance (sum of the distances of all matched pairs) is minimized over all possible alignments