Add the numbers.
For a matrix A, A is read as determinant of A and not, as modulus of A. ... sum of two or more elements, then the given determinant can be expressed as the sum
You add matrices by adding their respective terms - e.g. the element in the first row and sixth column of the sum is the sum of the elements in the addends' first rows and sixth columns. Wikipedia has a nice example of matrix addition that I linked below.
This is a directive, not a question.
matrix
Did you know that memory allocation is not needed to display the matrix? However, the C program is to find the sum of all the elements.
A matrix and a scalar is a matrix. S + M1 = M2. A scalar is a real number whose square is positive. A matrix is an array of numbers, some of which are scalars and others are vectors, square of the number is negative. A matrix can be a quaternion, the sum of a scalars and three vectors.
/* @Autor: MD moniruzzaman http://www.youngprogrammer.com */ #include<stdio.h> #define maxn 5 int matrix[maxn][maxn] = { {1,2,3,3,4},{2,3,4,1,2},{ 4,5,6,7,8},{3,4,5,6,9},{4,3,2,1,0}}; /* Given matrix is: 1 2 3 3 4 2 3 4 1 2 4 5 6 7 9 3 4 5 6 9 4 3 2 1 0 */ int main() { int sum = 0, i, j; for(i = 0; i<5; i++) { for(j = 0; j<5; j++) { sum+= matrix[i][j]; } } printf("%d\n",sum); return 0; }
The sum is 10,000
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#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();
In our simulations, we use this (in Matlab/Octave): function l=linearityindex(matrix) m=(matrix>matrix')+.5*(matrix==matrix'); rowsums=sum(m,2)-.5; n=length(rowsums); l=12/(n^3-n)*sum((rowsums-(n-1)/2).^2); You may want to check out Landau's 1951 paper, "On dominance relations and the structure of animal societies: I. Effect of inherent characteristics". From http://www.springerlink.com/content/366920782vwr0648/