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- 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…Using C++ Rotate a 3d vector by a quaternion. // 3D vector struct Vec3{ float x, y, z;}; // Struct holding 4 components of a Quaternion. Used to represent a planestruct Quaternion{ float x, y, z, w;};Declare the structure of Square formed by two vectors in 3-D space using the following VECTOR structure. VECTOR STRUCT X WORD ? Y WORD ? Z WORD ? VECTOR ENDS
- 3. Use two vectors and make them into one. Use the following vectors:Vector#1 {1, 1, 5, -3, 0}Vector#2 {9,7,2}Return a vector containing 1, 1, 5, -3, 0, 9, 7, 2 (in that order)1- If a = 1:5, b = 1:2:9, create an array c composed of elements of b followed by those of a. 2. For the same values of a and b mentioned above, create an array d composed of the first, third, and fifth element of a followed by three additional elements. 3- Generate the following row vector: b = [1, 2, 3, 4, 5....9, 10], then transpose it to column vector. 4- If x= [2 3 -1], then a- Add 1 to each element of x. b- Multiply each element of x by 3. 5- Apply addition, subtraction, multiplication, and division operation on the following vectors, x = [4 8 10 12], y =[2 4 5 6].50. Create a vector variable vec; it can have any length. Then, write assignment statements that would store the first half of the vector in one variable and the second half in another. Make sure that your assignment statements are general, and work whether vec has an even or odd number of elements (Hint: use a rounding function such as fix).
- If you have the following vector, write R code to find the length of this vector Y= c(20,65,75,2,1,56,24,13,33)Create a program for Matrix with the following requirements: 1. Allow the user to select what operation to perform like: finding eigenvalues and eigenvectors, sketching the Gershgorin circles, and diagonalization. 2. Allow the user to input any size of the matrices and their elements. 3. Display the matrix input and the result of the operation.Q3: find the vector c=[2 5 6] from the array (A) [2 4 6 A = 5 5 7 3 6 6. 61
- 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.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.(Numerical) Given a one-dimensional array of integer numbers, write and test a function that displays the array elements in reverse order.