Important: Please use the natural logarithm (base 6) for all logarithm calculations (log) below. Please show each step of your calculations; points will be deducted if only nal results are present. 1. We have presented a matrix back propagation example in class. In this exercise, you will follow the same logic we used in class to derive 3; = WingIE. (a) Please derive % = %XT (please consider the general case and show each step of your computation). (1)) Suppose the loss function is L2 loss. Given the following initialization of W and X , please calculate the updated W after one iteration. (step size = 0.1) 0.3 0.5 0 2 ,. ,_ ,. 0.5 1 W:(0.2 0.4)'X:(XI'X2):(3 1)'Y:(y1'y2):(1 4.5) Hint: [2105515 dened by L20\": if) = (Sillyi1)2+(912yi2)2+(y21y1)2+(922y2}2; Where Y = WX