#include<iostream.h> #include<conio.h> # define n 10 void main( ) { int mat[n][n]; int d; // Input elements cout<< "\n Enter dimension of square matrix:"; cin >> d; for(int i = 0; i < d ; i++) for( int j = 0; j < d ; j++) {cout<<"\n Enter elements for "<< i+1 << "," << +1<"location :"; cin >> mat[i][j]; } clrscr(); //Print the array cout<<"\n The Original matrix : \n\n"; for( i = 0; i < d ; i++) {for( j = 0; j < d ; j++) cout<< mat[i][j]<<"\t"; cout<< "\n"; } //upper half of left diagonal..... cout<<"\n The Upper half of the matrix : \n\n"; for( i = 0; i < d ; i++) { for( j = 0; j < d ; j++) { if(i < j) cout << mat [i][j] << " " ; else cout << " " << " "; } cout << "\n "; } //lower half of left diagonal..... cout<<"\n The Lower half of the matrix : \n\n"; for( i = 0; i < d ; i++) { for( j = 0; j < d ; j++) { if(i > j) cout << mat [i][j] << " " ; else cout << " " << " "; } cout << "\n "; } getch ( ); }
This sounds very much like a homework problem. If you work on it and get started, you found a great place to ask a specific question. However, this is not a place to have your homework done for you.
#include<stdio.h> int main(){ int a[3][3],i,j; float determinant=0; printf("Enter the 9 elements of matrix: "); for(i=0;i<3;i++) for(j=0;j<3;j++) scanf("%d",&a[i][j]); printf("\nThe matrix is\n"); for(i=0;i<3;i++){ printf("\n"); for(j=0;j<3;j++) printf("%d\t",a[i][j]); } printf("\nSetting zero in upper triangular matrix\n"); for(i=0;i<3;i++){ printf("\n"); for(j=0;j<3;j++) if(i>=j) printf("%d\t",a[i][j]); else printf("%d\t",0); } return 0; }
A c program is also known as a computer program. A singular matrix has no inverse. An equation to determine this would be a/c=f. <<>> The determinant of a singular matix is zero.
#include<stdio.h> int main() { double matrix[10][10],a,b, temp[10]; int i, j, k, n; printf("Enter the no of variables: "); scanf("%d", &n); printf("Enter the agumented matrix:\n"); for(i = 0; i < n ; i++){ for(j = 0; j < (n+1); j++){ scanf("%lf", &matrix[i][j]); } } for(i = 0; i < n; i++){ for(j = 0; j < n; j++){ if(j>i){ a = matrix[j][i]; b = matrix[i][i]; for(k = 0; k < n+1; k++){ matrix[j][k] = matrix[j][k] - (a/b) * matrix[i][k]; } } } } printf("The Upper triangular matrix is: \n"); for( i = 0; i < n; i++){ for(j = 0; j < n+1; j++){ printf("%.2f", matrix[i][j]); printf("\t"); } printf("\n"); } printf("\nThe required result is: "); for(i = n-1; i>=0; i--){ b = matrix[i][n]; for(j = n-1 ; j > i; j--){ b -= temp[n-j]*matrix[i][j]; } temp[n-i] = b/matrix[i][i]; printf("\n%c => %.2f",97+i, temp[n-i]); } }
A Hadamard Matrix is a square matrix composed of 1 or -1. Using a square matrix system the hadamard matrix could be created
Uper-triangular Matrix A square matrix A whose elements aij=0 for i>j is called upper triangular matrix.
No. Only square matrices can be triangular.
A strictly lower triangular matrix is a kind of (lower) triangular matrix. Term "lower" implies matrix has elements only in the lower half. The condition "strictly" implies that even the "diagonal" of such lower triangular matrix is populated with '0's. The strictly lower triangular matrix thus has '0's in its diagonal as well as the upper triangle part. In other words, a strictly lower triangular matrix is a lower triangular matrix minus its diagonal.
Lower-triangular Matrix A square matrix A whose elements aij=0 for i
Diagonal Matrix A square matrix A which is both uper-triangular and lower triangular is called a diagonal matrix. Diagonal matrix is denoted by D.
write a programe to build a sparse matrix as an array. write function to check if the sparse matrix is a square, diagonal,lower triangular, upper triangular or tridiagonal matrix
A square matrix in which all the entries of the main diagonal are zero
This sounds very much like a homework problem. If you work on it and get started, you found a great place to ask a specific question. However, this is not a place to have your homework done for you.
You can factorize the matrix using LU or LDLT factorization algorithm. inverse of a diagonal matrix (D) is really simple. To find the inverse of L, which is a lower triangular matrix, you can find the answer in this link.www.mcs.csueastbay.edu/~malek/TeX/Triangle.pdfSince (A T )-1 = (A-1 )T for all matrix, you'll just have to find inverse of L and D.
You can factorize the matrix using LU or LDLT factorization algorithm. inverse of a diagonal matrix (D) is really simple. To find the inverse of L, which is a lower triangular matrix, you can find the answer in this link.www.mcs.csueastbay.edu/~malek/TeX/Triangle.pdfSince (A T )-1 = (A-1 )T for all matrix, you'll just have to find inverse of L and D.
You can factorize the matrix using LU or LDLT factorization algorithm. inverse of a diagonal matrix (D) is really simple. To find the inverse of L, which is a lower triangular matrix, you can find the answer in this link.www.mcs.csueastbay.edu/~malek/TeX/Triangle.pdfSince (A T )-1 = (A-1 )T for all matrix, you'll just have to find inverse of L and D.
Any n x n (square) matrix have a determinate. If it's not a square matrix, we don't have a determinate, or rather we don't care about the determinate since it can't be invertible.