9. Write a complete adjacency matrix, sparse matrix, adjacency list, incidence matrix representation of the digraph below. 15 2 12 00
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- Q3: Find the eigenvalues of the Matrix: C = 3 21 1 ادة / صباحي : انور عدنان یحییUse a software program or a graphing utility with matrix capabilities to find the eigenvalues of the matrix. (Enter your answers as a comma-separated list.) 1 0 -1 1 1 1 -3 0 3 -3 0 3 3 λ = 0 030The join of two zero-one matrices A and B is described as AvB = [aij v bij] AAB = [aij a bij] AAB = [aij v bij] AvB = [aij a bij]
- i. Submit pseudocode that will map any adjacency-matrix encoded in {0,1}* to an adjacency-list encoded in in {0,1}* for that matrix1. Implement a helper function called rref pp (A, b) that applies Gaussian Elimination with partial pivoting to return the Reduced-Row Echelon Form of the augmented matrix formed from Matrix object A and Vec object b. The output must be of the type Matrix. 2. Implement the function solve pp(A, b) that uses rref pp (A, b) to solve the system A = b. The input A is of the type Matrix and b is of the type vec. o If the system has a unique solution, it returns the solution as a Vec object. o If the system has no solution, it returns None. o If the system has infinitely many solutions, it returns the number of free variables (int) in the solution. def _rref_pp(A, b): # todo pass def solve_pp(A, b): #todo pass Python+ A Transpose of a symmetric matrix does not have to be a symmetric matrix true False
- Q23. * The following Adjacency Matrix represents 1 2 3 4 5 6 1010000 2 101 100 30 100 10 40 100 10 5 0 0 1 1 0 1 0 0 0 0 1 0 6 O Undirected Unweighted Graph O Undirected Weighted Graph O Directed Unweighted Graph O Directed Weighted Graphuse my ID : 201909010 SOLVE ALL BY matlab Consider the graphs of the functions f(x) = m - 1x and g(x) = 2x² — n where m and n are the maximum and mean values of the digits in your student-ID number. a) Create a vector v whose elements are the digits of your student-ID number. b) Create a variable m and assign the maximum digit in v to it. Create a variable n and assign the mean value of the digits in v to it. d) Define the function f(x) and g(x) above as anonymous functions. Plot the graphs of f(x) and g(x) on the same figure using the MATLAB function ezplot. f) Find the exact values of the x-coordinates of the intersection points between the two graphs using the MATLAB function solve. g) Find the area bounded by the two graphs.Is the matrix diagonally dominant? if Not, make it diagonally dominant