Z = 1 Consider line function f(x, y) = 3x – 2y - 6 + Z, where Z is your student number mod 3. a) By using DDA algorithm, b) By using Bresenham algorithm, Show your steps and find the pixels to be colored between x = -1 and x-(4+Z).

PYTHON JUPYTER NOTEBOOKS please show code clearly.  create a program for lower triangular system L x = b. The algorithm is described in the image for i and j with offset 1. Recall that NumPy and Python have offset 0 for their sequence data types.

Your objective is to write the solution to the 9 × 9 sudoku puzzle below. You must write in the digits 1 through 9 in each row such that no digit is repeated vertically, horizontally and in each box. In your solution, write each row on itsown line; and for each row, write each digit enclosed in square braces. For instance, if the row is (1, 2, 3, 4, 5, 6, 7, 8, 9), then you would type [1][2][3][4][5][6][7][8][9] for that row.

Below is the questions

Given a vector of real numbers r = (r1, r2, ..., rm). We can standardize the vector using the formulation: vi = "im, where m ri-m is the mean of the vector r, and s is the standard deviation of r. The vector v = (v1, v2, ..., Un) will be the scaled vector. Write a Python function scale_vec (r) that takes the vector r as input and returns the scaled vector v. Sample inputs and outputs: ● Input: np.array([1, 3, 5]), output: [-1.22474487 0. 1.22474487] • Input: np. array([3.3, 1.2, -2.7, -0.6]), output: [1.35457092 0.40637128 -1.35457092 -0.40637128] Hint: Use numpy.mean and numpy.std with default parameters. # Write your function here. Let's test your function. [ ] import numpy as np print (scale_vec (np.array([1, 3, 5]))) print (scale_vec (np.array([3.3, 1.2, -2.7, -0.6])))

Design an algorithm to find the weighted average of four test scores. The four test scores and their respective weights are given in the following format: (9) test Scorel weight Test Scorel For example, sample data is as follows: 75 0.20 95 0.35 85 0.15 65 0.30

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Create 4 vectors v1 = rep(0, times=6), v2=1:4, v3=1:2, v4=1:3. Calculate v1+v2, v1+v3, v1+v4, v2*v3, v2*v4. What do you find?