Write the following set of equations in matrix form (or array form): 50 = 5x3-7x₂ 4x₂ +7x₂ +30=0 x₁ -7x3 = 40-3x₂ + 5x₁ Use Python to solve for the unknowns. In addition, compute the transpose and inverse of the coefficient matrix.
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- In python, Construct an n x n matrix, where you can establish a pattern of 1s,2s,3s, etc in the outer row-column, successively until you completely fill the matrix. Example: Ask for the user the size of the matrix (5x5) then automatically generates the following:Write a program for reading a square matrix (A) 10,10, then calculate and find the following: 1- the sum of the elements of the upper triangle of the matrix. 2 - The sum of the elements of the lower triangle. 3- The sum of the main diagonal elements of the matrix. 4- The sum of the elements of the perimeter of a matrix.Create a matrix that represents the coordinates of 16 random points in 3D space, find each point's distance to origin, and print the longest distance and the index of this point. (in Python)
- MAKE A PYTHON CODE WITH 6 matrix multiplication properties. You may create your own matrices in which their shapes should not be lower than (3,3).MAKE A PYTHON CODE WITH 6 matrix multiplication properties. You may create your own matrices in which their shapes should not be lower than (3,3). PRIORITIZE NUMBER 2 3 4 IN THE PICTURETake the size of the m xn matrix from user and also take the start and the end points from the user and then a random elements matrix and then print it on the console in python programming language.
- Write a menu-driven program to read and display a p¥q¥r matrix. Also, find the sum, transpose, and product of the two p*q*r matricesI am designing a application which can generate a 2 d array which contains the random elements and print that generated matrix on the console. Take the size of matrix from the user. In pythonIN PYTHON: import numpy as npimport numpy.linalg as la def smallest_eig(A):"""Given a positive definite symmetric matrix A,calculates the smallest eigenvalue of A andthe corresponding eigevector by using the inverseiteration. You are not allowed to use numpy.linalg functionsfor calculating the eigenvalues. However, you can usenumpy linalg functions for solving linear equations andfor calculating norms. Output: a tuple (lam, x), where lam is the smallesteigenvalue and x is the corresponding eigenvector """n = A.shape[0]lam = 0x = np.random.randn(n)passreturn (lam, x)
- Problem2: A square matrix can be represented by a two-dimensionalarray with N rows and N columns. You may assume a maximum size of 50 rows and 50 columns. 1. Write an algorithm MakeEmpty(n), which sets the first n rows and n columns to zero. 2. Write an algorithm Add(M1, M2, M3), which adds two matrices M1 and M2 together to produce matrix M3. 3. Write an algorithm Subtract(M1, M2, M3), which subtracts matrix M2 from matrix M1 to produce matrix M3. 4. Write an algorithm Copy(M1, M2), which copies matrix M1 into matrix M2.Need help in python. Problem: 2D random walk. A two dimensional random walk simulates the behavior of a particle moving in a grid of points. At each step, the random walker moves north, south, east, or west with probability 1/4, independently of previous moves. Compose a program that takes a command-line argument n and estimates how long it will take a random walker to hit the boundary of a 2n+1-by-2n+1 square centered at the starting point. //Given codeImport stdioImport randomImport sysn = int(sys.argv[1])//write code herestdio.write('The walker took ')stdio.write(c)stdio.writeln(' steps')A magic square is an n by n matrix in which each of the integers 1, 2, 3...n appears exactly once and all column sums, row sums, and diagonal sums are equal. For example, the following is a 5 by 5 magic square in which all rows, columns and diagonals sum to 65. 17 24 1 8. 15 23 7 14 16 4 6. 13 20 22 10 12 19 21 3 11 18 25 9 The following is a procedure for constructing an n by n magic square for any ODD integer n. Place 1 in the middle of the top row. Then.m after integer k has been placed, move up one row and one column to the right to place the next integer k+1 unless one of the following occurs: If a move takes you above the top row in the jth column, move to the bottom of the jth column and place k+1 there. If the move takes you outside to the right of the square in the ith row place k+1 in the ith row in the left side. If the move takes you to an already filled square or if you move out of the square at the upper right hand corner place k+1 immediately below k. Write a C++ program…