What is the output of the following code? A=[1 2 3]; A^2; O A= 149 O Inputs must be a scalar or a square matrix O [149] A= [1, 4, 9]
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- Write a function that displays an n-by-n matrix using the following header: void printMatrix(int n)Each element is 0 or 1, which is generated randomly. Write a test program that prompts the user to enter n and displays an n-by-n matrix.Write a code that would be able to perform matrix operations of variable size depending on user to input operations should include matrix addition,multiplication,and transpose. If the user wishesh to perform a transpose operation the program should accept a single matrix only. In python.What is the output of the following code? for i = 1:6 for j= 1:5 A(i,j) = input('enter a value'); end end Error O No output Asks user to input a 5*6 matrix Asks user to input a 6*5 matrix
- Q2: Develop a computer program in F90 to form the matrix A(n. n) as shown below. The program also prints the matrix in row wise manner. j=1 2 3 n 0 1 4 9.... 1014 4 1 0 1 - 9 4 1 0 -- www. ******** **** *** **** **** HEI www i=1 2 3 **** n **** www **** **** ****1. def f(x):"""Evaluates function `f(x) = x^2 - 15 \sin(x * \pi/3)`Parameters----------x : array_likeInput(s) to the functionReturns-------out : ndarrayFunction `f`, evaluated at point(s) x"""# your code here 2. def grad_f(x):"""Evaluates gradient of a function `f(x) = x^2 - 15 \sin(x * \pi/3)`Parameters----------x : array_likePoint(s) at which gradient should be avalueatedReturns-------out : ndarrayGradient of the function `f` evaluaed at point(s) x"""# your code here # TEST 1. f(x)assert f(0.) == 0.assert np.allclose(f(np.array([2.5, 7.5])), np.array([-1.25, 41.25])) assert np.allclose(f(np.arange(-10, 10, 1)), np.arange(-10, 10, 1)**2 - 15*np.sin(np.pi/3*np.arange(-10, 10, 1)))x_min = 1.33668375assert np.allclose(f(x_min), -12.9944407) # TEST 2. grad_f(x)assert np.allclose(grad_f(0.), -15.7079)assert isinstance(grad_f(0.), float) assert np.allclose(grad_f(0), - 5*np.pi*np.cos(0)), 'Gradient at point 0 is wrong'assert np.allclose(grad_f(np.arange(-10, 10, 1)), 2*np.arange(-10,…Q2} Write a user-define function that add or subtracts two polynomials of any order. Use the function to add and subtract the following f₁(x)=x5-7x4+11x³-4x²-5x-2 and f₂(x)=9x²-10x+6 polynomials:
- Complete this code using Python m1 = [] #Matrix 1m2 = [] #Matrix 2#Write a function that will return the addition of Matrix A and B.#Create a new matrix C that will hold the addtion result of Matrix A and B (A+B).#Return the resultant matrix Cdef addMatrix(A,B):#Write your code here#Write a function that will return the subtraction of Matrix B from A.#Create a new matrix C that will hold the substraction result of Matrix B from A (A-B).#Return the resultant matrix Cdef subsMatrix(A,B):#Write your code here#Write a function that will return the multiplication of Matrix A and B.#Create a new matrix C that will hold the multiplication result of Matrix A and B (A*B).#Keep in mind,in order to perform matrix multiplication, the number of columns in Matrix A must be equal to the number of columns in Matrix B. #Return the resultant matrix Cdef multipyMatrix(A,B):#Write your code here#Write a function that will transform matrix A to the transpose of matrix A.#The transpose of a matrix means…Java code: write a java code that can perform SQUARE-MATRIX-MULTIPLY-RECURSIVE. A; B(Strassen's Algorithms)/ and ordinary multiplication. The program should ask the user for input file and output file locations, and give output for both methods. It should also check if both outputs match and include error handing for incorrect Matrix Multiplication input.Write a function that sums all the numbers of the major diagonal in an nxn matrix of integers using the following header:def sumMajorDiagonal(m):The major diagonal is the diagonal that runs from the top left corner to the bottom right corner in the square matrix. Write a test program that reads a 4x4 matrix and displays the sum of all its elements on the major diagonal.
- Material Java/ C++/C- language Personal Computer. Instructions: A. Matrix Addition C. Matrix Transpose 1. The transpose of an m x n matrix A is n x m matrix AT. 2. Formed by interchanging rows into columns and vice versa. 3. (A¹)kj = Ajk 4. Let m input to enter the number of rows in the Matrix. 5. Let n input to enter the number of columns in the Matrix. 6. Display the transpose matrix 7. Save the file TRANSPM Questions: 1. What do you mean by an array? 2. Differentiate between for loop and while loop. 3. Define transpose of matrix? What will be the order of the matrix AT, if the order of the matrix A is 4 x 4.2: Which code is considered correct to use for matrix multiplication using dot product method? > a=[1,2,3;4,5,6]; >b=[0,1,7;3,2,1]r; » a=[1,2,3,4,5,6]; »b=[0,1,7;3,2,1]; >>d=a.*b; »d=a*b; Code 2 Code 3 > a=[1,2,3;4,5,6]; »b=[0,1,7,3,2,1); > a=[1,2,3;4,5,6]; »b=[0,1,7;3,2,1); »d=a*b; >d=a.*b; Code 4 Code 1(Numerical) Write a program that tests the effectiveness of the rand() library function. Start by initializing 10 counters to 0, and then generate a large number of pseudorandom integers between 0 and 9. Each time a 0 occurs, increment the variable you have designated as the zero counter; when a 1 occurs, increment the counter variable that’s keeping count of the 1s that occur; and so on. Finally, display the number of 0s, 1s, 2s, and so on that occurred and the percentage of the time they occurred.