Solve this exercise using Matlab With X = magic(4), perform the following operations: a) Extract the 3rd row of matrix X and store it in vector Y. b) Extract the 2nd and 3rd columns of matrix X and store them in matrix Z. c) Add the 1st and 3rd rows of matrix X together and store the result in vector W d) Change the value in the second row and third column of X to 365 and call the result AA e) Create a matrix that contains rows 2 and 4 from X, the second row of AA.
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- Create a row vector of 1's that has 4 rows. Now Create a column vector of 1's that has 4 columns. Using matrix multiplication, multiply both of these to get a 4x4 matrix and display the resulting matrix. Using matlab, do this. Please answer it correctly and don’t copy from anywhere otherwise it will be downvoted.Can you help me with a MATLAB code? I want to multiply a 3x3 matrix to every vector of a 3x101 matrix. Can you create some type of loop to help with that? For example, If I had A = [1 0 0; 0 2 0; 0 0 3]; and B = [1 2 3; 4 5 6; 7 8 9; 10 11 12; ...];. I would want to multiply matrix A to every row vector of B to get another matrix.Enter the 5 × 5 Hilbert matrix using MATLAB software 1 1/ 2 1/ 3 1/ 4 1/ 5 1/ 2 1/ 3 1/ 4 1/ 5 1/ 6 1/ 3 1/ 4 1/ 5 1/ 6 1/ 7 1/ 4 1/ 5 1/ 6 1/ 7 1/ 8 1/ 5 1/ 6 1/ 7 1/ 8 1/ 9 H i) Find the determinant of H. ii) Find the transpose and inverse of H iii) Using the commands in the text, find the dimensions of H, the column sums, and the row sums of H.
- a)Please make an organized output of the species and stoichiometric data. matrix shape = (24, 23) b) Compute the rank of the stoichiometric matrix using your own algorithm. Is the matrix full rank? Is mass conserved for the first 3 reactions and the last 3 reactions? ExplainA is be a 4×3 matrix and B is a 3×2 matrix. Which of the following gives a 2×4 matrix as a result? Select one alternative: a. BT AT b. BT A c. B A d. A + BTMatrix multiplication plays an important role in a number of applications. Two matrices can only be multiplied if the number of columns of the fi rst matrix is equal to the number of rows in the second.Let’s assume we have an m × n matrix A and we want to multiply it by an n × p matrix B. We can express their product as an m × p matrix denoted by AB (or A ⋅ B). If we assign C = AB, and ci,j denotes the entry in C at position (i, j), then for each element i and j with 1 ≤ i ≤ m and 1 ≤ j ≤ p. Now we want to see if we can parallelize the computation of C. Assume that matrices are laid out in memory sequentially as follows: a1,1, a2,1, a3,1, a4,1, ..., etc.Assume that we are going to compute C on both a single core shared memory machine and a 4-core shared-memory machine. Compute the speedup we would expect to obtain on the 4-core machine, ignoring any memory issues.Repeat above Exercise, assuming that updates to C incur a cache miss due to false sharing when consecutive elements are in a…
- Solving system of linear equations with two variables using Cramer’s rule. In mathematics the coefficientsof linear equations are represented in the form of matrices. A matrix is a two-dimensional array inprogramming. The steps of Cramer’s rule to solve the system of equations are:Step 1: Determining the coefficient matrix from linear equations e.g. a1x+b1y=d1a2x+b2y=d2Coefficient matrix: D = Step 2: Determining the constant column C = Step 3: Finding determinant |D| = (a1*b2) - (b1*a2) and checking if |D| is not equal to zero then do thefollowing: 1. Determining X-matrix: DX = The coefficients of the x−column are replaced by the constant column a1 b1a2 b2d1d2 d1 b1d2 b2 2. Determining Y-matrix: Dy = The coefficients of the Y−column are replaced by the constant column3. To solve for x: x=|DX|/|D|4. To solve for y: y=|Dy|/|D|Note that if |D|=0 then the matrix is singular and solving the system of equationis not possible. You’re required to automate all these steps by writing a program…Construct a square matrix with NN rows and NN columns consisting of nonnegative integers from 00 to 10^{18}1018, such that its determinant is equal to 11, and there are exactly A_iAi odd numbers in the ii-th row for each ii from 11 to NN, or report there isn't such a matrix. Standard input The first line contains a single integer NN. Each of the next NN lines contains a single integer A_iAi. Standard output If there is no solution, output \text{-}1-1. Otherwise, print NN lines, each consisting of NN integers, representing the values of the constructed matrix. If there are multiple solutions, print any. Constraints and notes 2 \le N \le 502≤N≤50 1 \leq A_i \leq N1≤Ai≤N For 40\%40% of the test files, N \le 17N≤17.Search a sorted matrix: The input consists of a real number x and a matrix A[1..n, 1..m] of nm real values, where A[i, 1..m] and A[1..n, j] are the rows and columns, respectively, of the matrix. The objective is to either state that all of the members of A are greater than x or to locate the largest array entry A[i, j] that is less than or equal to x. Create and evaluate an iterative approach for this issue that looks at the least amount of matrix entries feasible. If you think the issue can be resolved with a straightforward binary search, think twice.
- True or False The inverse of a matrix M can be calculated in Python with the command Inverse=np.linalg.inv(M)Search a sorted matrix: The input consistsof a real number x and a matrix A[1..n, 1..m] of nm real numbers such that each rowA[i, 1..m] is sorted and each column A[1..n, j] is sorted. The goal is to find the maximum array entry A[i, j] that is less than or equal to x, or report that all elements of Aare larger than x. Design and analyze an iterative algorithm for this problem that examines as few matrix entries as possible. Becareful if you believe that a simple binarysearch solves the problem. make a lower bound, and recursive algorithm.Search a sorted matrix: The input consistsof a real number x and a matrix A[1..n, 1..m] of nm real numbers such that each rowA[i, 1..m] is sorted and each column A[1..n, j] is sorted. The goal is to find the maximum array entry A[i, j] that is less than or equal to x, or report that all elements of Aare larger than x. Design and analyze an iterative algorithm for this problem that examines as few matrix entries as possible. Becareful if you believe that a simple binarysearch solves the problem.