10. Write a function that returns the condition number of a matrix based on the euclidean norm. Test the function by computing the condition number of the ill-conditioned matrix: (Programming) A = [149 16 4 9 16 25 9 16 25 36 16 25 36 49] Use the function inv(A) in numpy. linalg to determine the inverse of A.
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- Write a function that takes a matrix of order 3 and prints the transpose of it. The transpose should be stored in a different matrix.Test the function in main().For example:Matrix =1 2 34 5 67 8 9Transpose =1 4 72 5 83 6 9 write code for it in c++True or False The inverse of a matrix M can be calculated in Python with the command Inverse=np.linalg.inv(M)For input vector x, write a function to check whether there exists at most 5 elements in x whose values are less than 7.
- using R, Write a function denoted gwhich takes in a matrix L and returns a matrix containing the row and column indices of the sorted values of L.IN PYTHON! Given an n×n matrix A and n×1 right-hand side b, write a function that carries out q iterations of the Gauss elimination outer loop (without pivoting), where q is an integer between 1 and n, and returns the resulting augmented matrix with all below-diagonal elements transformed to zero in the left-most q columns. ##The code format given below may help # def gaussq (A, b, q): '''Apply Gauss elimination (without pivoting) to first q columns of a given linear system Inputs: A, coefficient matrix, size n by n b, vector of constants, n by 1 q, number of columns to apply Gauss elimination to, an integer between 1 and n Output: Aa, augmented matrix with all below-diagonal elements transformed to zero in the left-most q columns, n by n+1 #to check the workGiven 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 :
- In the following questions you need to import functions from Numpy. For example the computation of matrix determinants can be done with the help of the function det of the library numpy.linalg. Please list the commands required for the function to work Its follows on from a, b and cWrite a function called "Replace ALL" that accepts two parameters: a matrix of 20x10 elements of type integer and an integer value x . The function must: - Replace every positive matrix element by the value +1, and - Replace every negative matrix element by the value -1, and • Replace every zero by the value x.C++ Given an integer matrix of size M × N. Find the number of the first of its columns containing an equal number of positive and negative elements (zero elements of the matrix must be ignored). If there are no such columns, then print 0. Write a function to solve this problem. void max_each_column(int a[20][20], int n, int m) 3 3 1 2 -3 4 0 3 7 -8 0 Output: 1
- in c++ please Write a function called Replace All that cerpts two parameters a matrix of 100 elements of type inter and an interval y. The function must - Replace every positive matrix element by the values +5and Replace every negative matrix element by the value - 5 and - Replace every mero try the value y.Correct and detailed answer will be Upvoted In C Question: How can the function, matrix_initialize_unopt, be optimized and rewritten with loop collapsing? n has a size of 3000 struct fn_args { int n; int *mem1; int *mem2; }; int check(int x, int y) { return x < y; } void set(int *mat, int i, int num) { mat[i] = num; } void matrix_initialize_unopt(struct fn_args *args) { int i, j, n; int *mat1, *mat2; n = args->n; mat1 = args->mem1; mat2 = args->mem2; for (i = 0; check(i, n); i++){ for (j = 0; check(j, n); j++){ set(mat1, i * n + j, i); set(mat2, i * n + j, i+1); } } }An MxN matrix can be represented by a 1-D array of size M*N as follows: The elements at index 0 to N-1 corerspond to the first row of the matrix The elements at index N to 2*N-1 corerspond to the second row of the matrix so on The elements at index (M-1)*N to M*N corerspond to the last row of the matrix Problem Write a function to find the transpose of a matrix. Save the resultant matrix in the 1-D array that is passed as argument to the function. If the function succeeds return 1 otherwise return -1. int MatrixTranspose(int matrix1[], int r1, int c1, int resultant[], int &r2, int &c2) { } int main(int argc, char *argv[]) { return 0; } THIS IN C++.