Q1/ Given the vectors x-[1 8 5], y=[2 8 7] and matrix A=[3 5 8;2 7 5] Find the result of execut the following: 1- [x;y] 2- A'.*B 3- Z=x?
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![Q1/
Given the vectors x-[1 8 5] , y=[2 8 7] and matrix A=[3 5 8;2 7 5]
Find the result of execut the following :
1- [x;y]
2- A'.*B
3- Z=x?
4- A.*B
5- x'+ y
6- A(1,:)=[]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f063827-bf8c-43d6-a330-db3e4d9e0c2b%2F8a30ac2a-7d46-435f-b65d-b715569a5b9f%2Fen665a_processed.jpeg&w=3840&q=75)
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- A matrix is an array of numbers of size m by n (i.e., m x n). When we multiply 2 matrices, we multiply the matching numbers, then sum them up. Multiplying a matrix of size m x n with another matrix of size n x q will result in a matrix of size m x q. An example is shown in Figure 1: [ ? ? ? ? ? ? ] x [ ? ? ? ? ] = [ ?? +?? ?? + ?? ?? + ?? ?? + ?? ?? + ?? ?? + ?? ] Matrix 3 x 2 Matrix 2 x 2 Matrix 3 x 2 Figure 1: Multiplication of Matrix 3 x 2 and 2 x 2 Write a C++ program that multiplies 2 matrices and return the sum of the transposed matrix. Your program shall include the following: a) Define two 2 dimensional arrays, M and N that each represents a matrix of size 3 x 2 and a matrix of size 2 x 2. Request the user to enter the values for the 2 arrays using advanced pointer notations (refer to your slides for the list of array pointer notations). b) Create a function named multMatrix() that passes as arguments, the values of array M and N, multiplies them and store the results in a new…Computer Science Given an N x N matrix M with binary entries i.e every entry is either 1 or 0. You are told that every row and every column is sorted in increasing order. You are required to output a pair (i,j) with 1 <= i and j <= n corresponding to the entry of the matrix satisfying Mij = 1 and Mrs = 0 for all 1 <= r <= i and 1 <= s <= j except for Mij Informally this includes the entry of M = 1 and is closest to the top left corner. for example: M = [ 0 0 0 1 0 0 1 1 0 0 1 1 0 0 1 1] output is (2,3) or (1,4) M = [ 0 1 1 1 1 1 1 1 1] output could be (1,2) or (2,1) Design a divide and conquer algorithm, explain correctness and runtime of the algorithm.Using Java Modify the program 1 to compute the multiplication of two vectors with the sizes mx1 and 1xn. The result is a matrix mxn computed as follows: the element on the position r and c in the product will be equal with m1[r][0]*m2[0][c].
- Can you help me solve this and explain it step by step on how the answer was found please. Given integer vector x has 5 elements with values 4, 7, 3, 0, 8. What are ending values x? int i ; for ( i == 0; i < x.sixe () - 1; ++i) { x.at(i) = x.at(i); }Create an ABM function that takes the following parameters: n := number of paths to be simulated m := number of discretization points per path S0 := initial starting point dS=μdt+σdW Program the function by using two nested "for loops" def ABM(n,m,S0,mu,sigma,dt): np.random.seed(999) arr = # create 2D zeros array with the correct dimensions arr[,] = #initialize column 0 # fill in array entries for i in : for j in : arr[i,j] = return arrWrite a program to read a matrix of size m × n and print its transpose. Please explain your code clealry and print the output
- A university uses student numbers consisting of 6 digits plus a check digit in the 7th position. The check digit is found by taking the number formed by the first 6 digits modulo 7. A transposition in this setup is a switch of two adjacent digits - check digit excluded. Which transpositions of a student number (a6,a5,a4,a3,a2,a1,a0) (here written as a vector, with check digit a0) will not be detected by the check digit? Explain your answer in full and show any calculations you do. Hint: Note that the value of any ai in the number is ai×10i and consider the difference between the values of the correct and incorrect numbers modulo 7.In Python, generate a random matrix A with 100 entries each of which is an independent numberpseudo-randomly drawn (uniformly) from the interval (0, 1). Let B = A + AT . Use Python to calculatethe diagonal matrix D with the same eigenvalues as B. Then use the QR method to block-diagonalize Bover R. Do at least 100 steps of the QR switching. You should end up with a matrix E which is differentthan D. Answer the question of why.Implement the Tic-Tac-Toe game in C++ using functions and 2D array of 3X3 size. Rules of the Game a) The game is to be played between computer and user.b) One of the players chooses ‘O’ and the other ‘X’ to mark their respective cells.c) The game starts with one of the players and the game ends when one of the players has onewhole row/ column/ diagonal filled with his/her respective character (‘O’ or ‘X’).d) If no one wins, then the game is said to be draw.
- Implement the Tic-Tac-Toe game in C++ using functions and 2D array of 3X3 size. Rules of the Gamea) The game is to be played between computer and user.b) One of the players chooses ‘O’ and the other ‘X’ to mark their respective cells.c) The game starts with one of the players and the game ends when one of the players has onewhole row/ column/ diagonal filled with his/her respective character (‘O’ or ‘X’).d) If no one wins, then the game is said to be draw. Note:No pointers should be used.The program should be simple and easy.What to input here to run properly? % Encode the Matrix A and the column vector b. A= b= % Solve for Determinant of A. Set as dA. dA = % Find the Inverse of A. set as iA. iA = % Form the Reduced Row Echelon of A. Set as rA. rA= %Find the number of rows and number of columns of Ab. set as rowA and colA. % Find the sum of the columns of A. Set as SumA. %In each of the columns of A, find the highest values and its indices.Set as highA and locA. %Augment A with b; Set as Ab. % Find b\A. Set as Root1. %Form the Reduced Row Echelon Form of Ab. Set as refAb. %Extract the last column of refAb.Set as Root2. %Create a matrix A whose elements are the same as matrix A, but the first column is the column vector b. Set as Ax. %Create a matrix A whose elements are the same as matrix A, but the second column is the column vector b. Set as Ay. %Create a matrix A whose elements are the same as matrix A, but the third column is the column vector b. Set as Az. %Create…How can the function, matrix_multiply_unopt, be optimized and rewritten to run faster using with n having a size of 1600? struct fn_args { int n; int *mem1; int *mem2; int *mem3; }; void matrix_multiply_unopt(struct fn_args *args) {int i, j, k, n;int *mat1, *mat2, *res; n = args->n;mat1 = args->mem1;mat2 = args->mem2;res = args->mem3; for(i = 0; i < n; i++){for(j = 0; j < n; j++){res[i * n + j] = 0;for(k = 0; k < n; k++){res[i * n + j] += mat1[i * n + k] * mat2[k * n + j];}}}}
