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- Choose the correct option. any() is 'true' if elements in a vector is zero any() shows all the elements in a matrix while all() shows every element of a vector all() is 'true' if every element in a vector is 0 all() is 'true' if every element in a vector is non zero O OLANGUAGUE: C I - Write an algorithm that takes two nxn matrices stored in vectors v1 and v2 and, computes a new matrix to be stored in vector v3 that corresponds to multiplication of the matrix stored in vector v1 by the matrix stored in vector v2. Assume that vector v3 is already properly allocated. int MultiplicaMatrizes (int *v1, int *v2, int *v3, int n) II - Write an algorithm for the Pune operation that punishes an element in a stack putting it n positions down. Assume that the stack is implemented as a vector. int Pune(Stack *s, int n) III - Write a k-remove(L,k) algorithm to remove the kth node from the linear list simply chained L void * sllRemovek (SLList *l, int k)Q1: if y = [1,2,3,4,6,5,4,3,8,9,7,6,5,4,3,2], then a) replace the first three elements of vector y with its minimum value. b) reshape this vector into a 4 x 4 matrix.
- Every vector can be normalised2. Show that matrix multiplication distributes over matrix addition: show A(B + C) = AB+ AC assuming that A, B, and C are matrices of compatible size. 3. Write a function my_is_orthogonal (v1,v2,tol) where v1 and v2 are column vectors of the same size, and tol is a scalar value strictly larger than zero. The output should be 1 if the angle between vl and v2 is within tol of 1/2, that is, |7/2 – 0| < tol, and zero otherwise. You may assume that vl and v2 are column vectors of the same size, and that tol is a positive scalar.Course: Data Mining Language: R Given the following vectors x = [1, 3, 5, 7, 6, 8, 5, 2], y = [7, 11, 9, 6, 4, 3, 1, 3], z = [3, 5, 7, 9, 8, 7, 6, 5] Calculate the proximity between (x,y), (y, z), and (z, x) for the following proximity measures. Minkowski distance with h = 1 Minkowski distance with h = 2 Supremum distance
- A: If x=[26 12; 15 6 3; 10 11 1], then a) replace the first row elements of matrix x with its average value. b) reshape this matrix into row vector.Exercises2 1- If x=[1 4; 8 3], find :Using matlab a) the inverse matrix of x. b) the diagonal of x. c) the sum of each column and the sum of whole matrix x. d) the transpose of x. 2- If x= [2 8 5; 9 7 1], b=[2 4 5] find: a) find the maximum and minimum of x. b) add the vector b as a third row to x.3 نقاط * To change the elements of last row of a two dimensional matrix to zeros, one of the following statement is -:used y(end, :) = 0; O y(:, end) = 0; O y( end, end ) = 0; O y(end) = 0; O y( : ) = 0; O
- 7. Plot the function f) = for-4 sx<3. Notice that the function has a 0.8(x+1) vertical asymptote at x=-1. Plot the function by creating two vectors for the domain of x. The first vector (name it xl) includes elements from 4 to-1.1. and the second vector (name it x2) includes elements from-0.9 to 3. For each x vector create a y vector (mane them yl and y2) with the corresponding values of y according to the function. To plot the function make two curves in the same plot (yl vs. xl, and y2 vs. x2)1- Create a 4*4 matrix A having random integer values between 1 and 10. Call the matrix A and, using MATLAB, perfom the following operations. For each part explain the operation. (a) A*A, (b) A.*A (c) A./A (d) det(A) (e) irv(A)1. Suppose we have three points in a two dimensional space: (3,1), (2,1), and (7,7). We want to perform PCA on these points, so we construct a 2-by-2 matrix whose eigenvectors are the directions that best represent these three points. Construct this matrix, as outlined in the PCA algorithm discussed in class, and identify, in the list below, one of its elements. a) 25.5 O b) 14 O c) 27 d) 12