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- 1. Let A and B two matrices, write a Python3 function to calculate the subtraction of these two matrices (A-B =?) (No Numpy!)F43' in terms of F, F+1 F,+2]. (You don't need b) Work out a matrix equation that encodes this sequence in vector form for F+1 F42 to do this in Python.) Input as A the resulting matrix.(Numerical) Using the srand() and rand() C++ library functions, fill an array of 1000 floating-point numbers with random numbers that have been scaled to the range 1 to 100. Then determine and display the number of random numbers having values between 1 and 50 and the number having values greater than 50. What do you expect the output counts to be?
- Fill in the correct blanks. Matrices can be created by row-binding using ____ function of R.Input the grades of a student by taking marks in 3 different subjects using arrays. Use functions to Design a grade calculator based on following criteria: If the student scores 60 above in all three subjects, then he should get an A grade. If the student scores 60 above in only one subject, he gets a B grade. If he scores 60 below in all subjects he scores C gradeQ2: Develop a computer program in F90 to form the matrix A(n, n) as shown below. The program also prints the matrix in column wise manner.
- 6.Coding-----""Euler's totient function, also known as phi-function ϕ(n),counts the number of integers between 1 and n inclusive,which are coprime to n.(Two numbers are coprime if their greatest common divisor (GCD) equals 1)."""def euler_totient(n): """Euler's totient function or Phi function. Time Complexity: O(sqrt(n)).""" result = n for i in range(2, int(n ** 0.5) + 1): if n % i == 0: while n % i == 0: n //= i.3. Do the followings, a. Create the following 3-by-3 matrix, [1 1 3] C = 54 9| l3 5 1] b. Using for loop print the summation of the all terms for each row, HINT: For the 1" row it must be 5 HINT: For the 2nd row it must be 18 c. Using for loop print the multiplication of the all terms for each row, HINT: For the 1" row it must be 3 HINT: For the 2nd row it must be 180 d. Modify your code, so that it can handle matrices with different sizes.Q3- If A, B, and C are all of them [6x6] float matrix input by users. Find Y as below equation. Y= 4(2A+B+2.5C)
- (b) Write a program that fills a five-by-five matrix as follows: Upper left triangle with +1s • Lower right triangle with -1s • Right to left diagonal with zeros Display the contents of the matrix using not more than two printf statements.i. Creates a matrix using: B=rand (20) a-write a program to find all numbers less than or equal 0.5 and put them in a new matrix with dimension 20x10. you can extend with zeros to fill the matrix. b- Do same as point a for all numbers above 0.5. c- Count all the numbers less or equal 0.3 , the numbers between 0.3 and 0.7 and count the numbers more than or equal 0.7.Put the results in a new vector with dimension 3x1. d- Replace the numbers of between 0.7 and 0.9 with 1. e- Add all the elements column wise.Vehicle Displacement You are given the velocity of shuttle traveling in a straight line as a series of data points. Write a program that computes the position (displacement) of the shuttle along this line at the time of the final data point The input is given vis standard input in the following format number of data points (0 < 65,535) on its own in • It pairs of data points, each on their own line, consisting of two integers separated by a ungle comma The first number represents the time in seconds (065535), and the second represents velocity in meters per second (4 v). Time is strictly increasing and velocity is constant between data points. The vehicle position and velocity both start at 0 May shuttles can drive in either direction, and in an added bit of realm the data points are speed-limited to about 25 mph in forward and 10 mph in reverse. However, in a reduced bit of realsm, the problem does imply that shuttles can change velocity instantaneously The output should be a single…