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.
It is a square matrix whose main diagonal has only 1's and all other positions in the matrix are 0.
No. A matrix polynomial is an algebraic expression in which the variable is a matrix. A polynomial matrix is a matrix in which each element is a polynomial.
A sparse matrix is matrix that allows special techniques to take advantage of large number of zero element. Application of sparse matrix is classification and relationship analysis in large data base system - SPARCOM
Vector matrix has both size and direction. There are different types of matrix namely the scalar matrix, the symmetric matrix, the square matrix and the column matrix.
Write a program in c++ that take input in a integer matrix of size 4*4 and find out if the entered matrix is diagonal or not.
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.
No. A scalar matrix is a diagonal matrix whose main diagonal elements are the same. Only if the diagonal elements are all 1 is it an identity matrix.
Yes.
It is the product of the three diagonal elements.
It is the diagonal entries of the matrix raised to a power.
A minor diagonal matrix is one where the only non-zero entries are along the diagonal that runs from bottom most left to upper most right.
It will be a square matrix and, to that extent, it is diagonalisable. However, the diagonal elements need not be non-zero. It will be a square matrix and, to that extent, it is diagonalisable. However, the diagonal elements need not be non-zero. It will be a square matrix and, to that extent, it is diagonalisable. However, the diagonal elements need not be non-zero. It will be a square matrix and, to that extent, it is diagonalisable. However, the diagonal elements need not be non-zero.
#include <stdio.h> #include <conio.h> void main() { int d[3][3] = { 1, 2, 6, 3, 8, 5, 5, 6, 7 }; int k = 0, j = 0; int sum1 = 0, sum2 = 0; for (j = 0; j < 3; j++) { for (k = 0; k < 3; k++) printf(" %3d", d[j][k]); printf("\n"); } for (j = 0; j < 3; j++) { sum1 = sum1 + d[j][j]; } k = 3 - 1; for (j = 0; j < 3; j++) { if (k >= 0) { sum2 = sum2 + d[j][k]; k--; } } printf("Sum of First diagonal= %d\n", sum1); printf("Sum of Second diagonal= %d", sum2); getch();
A square matrix in which all the entries of the main diagonal are zero
diagonal
A square matrix is said to be scalene Matrix if it has all principal diagonal elements equal and remaining all