Write a program in Thonny that will calculate income tax owed given wages, taxable interest, unemployment compensation, status (single or married) and taxes withheld. Taxpayers are only allowed to use this short form if adjusted gross income (AGI) is less than $120,000. Dollar amounts are displayed as integers with comma separators. For example, print(f”Deduction: ${deduction:,}”).Hint – it will be one program but build this program in steps.Step 1 – Get Input – You will input wages, taxable int
![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)
