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# Exercise 2: Implement calculate_S and calculate_R Recall that the element-wise squared Euclidean distance matrix D O DE Rnxm is defined by [D D] =

## Exercise 2: Implement calculate_S and calculate_R Recall that the element-wise squared Euclidean distance matrix D O DE Rnxm is defined by [D D] = (x; zj) (x; Zj) - - Also, the matrices S, RE Rnxm are defined by In the previous activity, we showed that DOD S+R - 2G Later in this exercise, you will implement 12distance to calculate D. But you will need S and R, which you will implement now in calculate_S and calculate_R, respectively. Ensure that your functions return S and R of size n X m, as they will be added to -2G to get D O D. Think about what the S and R matrices look like. You will find that the values in each row of S and the values in each column of R do not change! This is also apparent when considering that S; = X X; for all j; similar argument for R = z z; for all i. That is, XX1 ZZ 772 ZZ 122 ZZ 7772 S = Sij = xx, and Rj = z zj XX XX2 : XX X X X Xn *** ... XX XX2 : XXn and R = ZmZm ZmZm ZmZm Now you just need to figure out how to calculate xx; and zz; without loops. You might find the fact a a = 1a and repeat function np.repeat (and its axis parameter) useful.

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