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- Two-Dimensional Array ProblemGiven the following data file: (copy and paste it into a txt file)OnesandZeros.txt1 1 0 0 1 1 0 1 11 1 0 1 1 0 0 0 10 0 1 1 1 1 0 1 01 0 0 1 0 1 0 1 11 1 0 0 1 1 1 0Your C++ program is to read the data, one group at a time into a 3X3 matrix and determine if there is a winner in a game of tic-tac-toe.A winner is defined as having all 1’s (or 0’s) in any row, all 1’s (or 0’s) in any column or all 1’s (or 0’s) in either diagonal You must have the following functions in your programA Readinfunction to fill the matrixA Find RowWinner, pass it the matrix, the number of columns, and player number (0 or 1), this function returns true if any of the rows was all 1’s or 0’s, false otherwiseA Find ColWinner, pass it the matrix, the number of columns, and player number (0 or 1), this function returns true if any of the columns was all 1’s or 0’s, false otherwiseA Find Diagonalwinner, pass it the matrix, the number of columns, and player…Q5/Write program to integrate the matrix A and B to array C as follows [b1] B=b2 A=a2 la3.The formula C=numpy.add(A, B) adds the two matrices A and B and stores the result in C.• To subtract matrix B from matrix A, enter C=numpy.subtract(A, B). The result is stored in C.• C=numpy.divide(A, B): Split matrix A into two equal parts and store the result in C.• C stands for numpy.multiply(A, B): Multiply matrices A and B, then store the result in matrices C.• C=numpy.sum(A): Calculate the sum of each element in the matrix A, then store the result in c R.• C=numpy.sum(A, axis = 0): Create a vector C by adding the columns of the matrix A.• C=numpy.sum(A, axis = 1): Summarize matrix A row-by-row and store the result in the vector C. Create Python code that demonstrates the use of these techniques in a sample matrix.
- Write a code to create a QR decomposition of the matrix A by utilizing the code developed in the previous sub-parts of this question. Find the matrices Q and R and then display the value ∥A − (Q.R)∥F , where ∥ · ∥F is the Frobenius norm. The code should also display the total number of additions, multiplications and divisions to find the result.8. Use the linspace function to create a vector of 300 elements in the range 1 → 100000 and assign it to the vector rl. 9. Find the common logarithm, i.e. base 10, of each element in rl and assign the resulting vector to r2.Java Objective:Design and implement simple matrix manipulation techniques.Details:Your java program should use 2D arrays to implement simple matrix operations.Your program should do the following:• Read the number of rows and columns of a matrix M1 from the user. Use an input validation loop to make sure the values are greater than 0. • Read the elements of M1 in row major order• Print M1 to the console; make sure you format as a matirx• Repeat the previous steps for a second matrix M2• Create a matrix M3 that is the transpose of M1 and print it to the console• Check if M1 and M2 can be added (should have the same dimensions). If possible, add M1 and M2 and print the result to the console. Otherwise print an error message.• Multiply M1 and M2 if possible and print to the console. If the matrices cannot be multiplied, print an error message. Implementation requirements:• Use a helper method for reading a positive integer using an input validation loop.• Use a helper method for printing…
- Q3 // (A) Using nested for-loops to generate a matrix that has elements shown below (without typing the numbers explicitly): 12 8 4 0 -4 14 10 6 2 -2 16 12 8 4 0Python numpy library functions to perform basic matrix operations are as follows.• C=numpy.add(A, B): Add two matrices A and B and store result in C.• C=numpy.subtract(A, B): Subtract matrix B from matrix A and store result in C.• C=numpy.divide(A, B): Divide matrix A by matrix B and store result in C.• C=numpy.multiply(A, B): Multiply matrix A by matrix B and store result in C.• C=numpy.sum(A): Form the sum of elements of matrix A and store result in c ∈ R.• C=numpy.sum(A, axis = 0): Form the column wise summation of matrix A andstore result in vector C.• C=numpy.sum(A, axis = 1): Form the row wise summation of matrix A, storeresult in vector C.Python code to show the implementation of these methods in a sample matrix.Write the C code that gives the 10x15 matrix transpose of random numbers between 0-100. for example ;
- Determine all elements in a matrix that are evenly divided by 5 (using vectorization) (no loops can be used) Glven the input matrix A (10x10), perform the following steps 1. square each element in matrix A 2. find each element in the matrix that is evenly divided by 5 3. create a ROW vector of all the elements found in step #2 and write them to an array named B 4. the array B should be sorted (in increasing value) and should only have unique values (see help on built-in function unique) Script A Save C Rese 1A - magic(10); Assessment: Run PretestIf you have a vector A-[l 3 5 7 lo] Con Jou Conver it to Column ?Q3/ (a) Lets C is a 3x3 matrix, find out TWO ONLY of the following: 1. Sum of the first column. 2 The results of multiply C matrix by 3. 3. The determinate of C matrix. (b) Write a Cprogram to enter different four-integer numbers into One -Dimensional Array, print its elements, and find sum of the results.