ython code to calculate the eigenvalues and eigenvectors of a matrix from the numpy linalg library is eig. It returns the eigenvalues and the eigenvectors as one eigenvector per column of a matrix as shown in the code below. The vector w contains the eigenvalues of the matrix A and the matrix V has one eigenvector per column. Eigenvalues for the given matrix A are 2, 1 and 4 and we can see that determinant of A is equal to the product of these values and the trace of A to the sum.

Prompt: In Python language, write a function that applies the logistic sigmoid function to all elements of a NumPy array. Code:   import numpy as np import math import matplotlib.pyplot as plt import pandas as pd   def sigmoid(inputArray):               modifiedArray = np.zeros(len(inputArray))               #YOUR CODE HERE:               return(modifiedArray) def test(): inputs = np.arange(-100, 100, 0.5) outputs = sigmoid(inputs) plt.figure(1) plt.plot(inputs) plt.title('Input') plt.xlabel('Index') plt.ylabel('Value') plt.show() plt.figure(2) plt.plot(outputs,'Black') plt.title('Output') plt.xlabel('Index') plt.ylabel('Value') plt.show() test()

Write a function to determine the resultant force vector R of the two forces F₁ and F₂ applied to the bracket, where 0₁ (positive, unit in degree) and ₂ (negative, unit in degree). Write R in terms of unit vector along the and y axis. R must be a vector, for example R = [R₂, R₂]. Note that is expressed in degrees. The coordinate system is shown in the figure below: F2 021 return R # import numpy as np. import math from math import * # Import all the math functions from the math library from numpy import array # Complete the function given the variables F1, F2, thetal (positive, degree), theta2 (negative, degree) and return the value as array #Hints: Use numpy.array to form the force vector and then add the force vectors # Remember to convert the degree to radian in the calculations and be careful of the sign def force_vec (F1, F2, thetal, theta2): R=np.array([0,0]) # Resultant force vector, Initiation of the value # YOUR CODE HERE # Check your answer F1=300 F2=200 0₁ Theta1=60…

Qn 1: Write a C++ program to multiply 2 matrices using multi-dimensional arrays. Program should ask the user to input the values of both matrices(arrays). Example: Input Input first matrix 2 4 1 2 3 9 Input second matrix 1 2 3 3 6 1 2 9 7 Output Product of the 2 matrices is 16 37 17 29 103 72

jupyter nootebook python with julia 1: Modify your models and coding of Chebyshev center and building a house to get the right anwsers.  # Given matrix A and vector b A = [2 -1 2; -1 2 4; 1 2 -2; -1 0 0; 0 -1 0; 0 0 -1]b = [2; 16; 8; 0; 0; 0]

Exp2: A vectory is given by  X = [−3.5  −5  6.2  11  0  8.1  −9  0  3  −1  3  2.5]   Using conditional statement and loops, develop a program that creates two vectors from X: Vector P contains all positive elements of X Vector N contains the negative elements of X. The elements in new vectors are in the same order as in X. Please show me how to code this on matlab. I have tried watching tutorials on youtube and can not figure out how to code this for the life of me. Thank you.