2. Write a function double scalar_product(vector a, vector b) that computes the scalar product of two vectors. The scalar product of two vectors A(al, a2, a3) and B(b1, b2, b3) is another vector C given by C{c1, c2, c3) where cl = al b1, c2a2b2, c3 = a3 + b3. +
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Produce the following program.
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- R Programming - Rmarkdown: 1. Given two vectors x and y of equal length, in one line of code (in the function body), write a function find_max_logical() that will output a single logical vector that is TRUE at the indices where the maximum values in x and y are. For example, given the below vectors: x <- c(Inf, 3, 2, 6, 99) y <- c(12, 1, 0, 40, 5) # You should return (without manually creating the vector with c()) c(TRUE, FALSE, FALSE, TRUE, FALSE) # Noting that Inf and 40 are the max values of x and y respectively, ## at the 1st index of x and the 4th index of y. Please test your functions on the following test inputs in your submission: # test case 1: x = c(Inf, 3, 2, 6, 99), y = c(12, 1, 0, 40, 5) # test case 2: x = 1:5, y = 1:5 # test case 3: x = c(1, 4, 9), y = c(1, 4, 2)Let A = {1, 2,3} and B = {a, b, c, d} What is the function from a to b?Using R software, create a function that returns the square root of a vector x. However, it uses a tryCatch statement so that if x has negative numbers, then it returns x as it is and issues a warning that x contains negative numbers. Otherwise, it returns the square root of x
- Use the eig function from the numpy linalg library in Python to get the eigenvalues and eigenvectors of a matrix. The eigenvalues and eigenvectors are provided as one eigenvector per column of a matrix, as can be seen in the code below. The matrix V contains one eigenvector for each column, and the eigenvalues of the matrix A are included in the vector w. The provided matrix A's determinant is the product of its Eigenvalues, which are 2, 1, and 4, and the trace of A is the same as the sum of those values.use c++ to define a vector d = {2,2/2,2/3,2/4,2/5,.....,2/20000} as a valarray! please do not use a vector. please do not use pushback as that is only defined in vectors not valarrays.Define a function CheckSum() that takes one integer vector parameter and one integer parameter. The function computes the sum of the vector's elements. Then, the function returns true if the sum is not equal to the integer parameter, and returns false otherwise. Ex: If the input is: 4 -69 40 4 then the vector has 4 elements (-6, 9, 4, 0), and the integer parameter is 4. The output is: True, the sum of all the elements is not equal to 4. 1 #include 2 #include 3 using namespace std; 4 5* Your code goes here */ 6 7 int main() { 8 9 10 11 12 13 14 15 16 17 vector inVector; int size; int input; int i; int x; bool result; // Read the vector's size, and then the vector's elements cin >> size; for (i = 0; i < size; ++i) {
- 6. X is (a,b,c,d), Y is {1,2,3,4). {(a,1), (b,2), (c,2), (d,4)) is a function from X to Y.Write a user-defined function that adds or subtracts two polynomials of any order. Name the function p=polyadd(p1,p2,operation). The first two input arguments p1 and p2 are the vectors of the coefficients of the two polynomials. (If the two polynomials are not of the same order, the function adds the necessary zero elements to the shorter vector.) The third input argument operation is a string that can be either ‘add’ or ‘sub’, for adding or subtracting the polynomials, respectively, and the output argument is the resulting polynomial. Try your code on several different inputs, and show the results.Given vector.h and vector.c from the Vector ADT section of the book, modify the code so that the vector holds characters instead of integers. Define also the following new functions in vector.c :