Description
Write a program that determines the total amount for a set of tickets based on the following prices. Create a function that accepts the class type (as its letter) and the number of tickets of that class. The function should return the total price for that number of tickets. The main function should ask the user for the number of tickets of each type that was purchased and then call the function for each ticket type to calculate the subtotal of each type. The total price should be outputted in the main function.
![Write a Python function that takes as input three integers, M, N, and r, and returns an MN matrix of rank r. Create matrices of different sizes and ranks, and use numpy.linalg.matrix_rank() to verify the returned matrices have the desired rank. Why should you expect a randomly generated matrix to have the rank you prescribe? What happens if you set r > min(M, N), and why does that happen? def randrank(M, N, r): A = random.randn(M, r) B = random.randn(N, r) return A.dot(B.T) R = randrank(32, 41, 7) print(R.shape, 'n') print(LA.matrix_rank(R), 'n') (32, 41) 7 (a) Use the function in Exercise #1 to generate a 5020 random matrix of rank r = 20, and visualize it. (b) Find the SVD of the matrix in part (a) using numpy.linalg.svd(). (c) Reconstruct the MN 2D array s with the entries of along its diagonal and zeros everywhere else: S = [s100000, s200000, sN00] if M > N, or S = [s1000, s2000, sM000000] if M < N (d) Verify that U.dot(S.dot(Vt)) recovers the matrix created in part (a). (e) Repeat (a) - (d) for a randomly generated 2050 matrix of rank r = 20.](https://gotit-pro.com/wp-content/uploads/2023/10/9d894064-eba6-456a-bd74-1f134ab849c5.png)
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