C Program To Find Trace and Normal of Matrix
Learn How To Find Trace and Normal of Matrix in C Programming Language. The math.h header files includes the definitions for sqrt() method.
What is a Trace?
A Trace calculated by adding up the Main Diagonal Elements of the Matrix. The Main Diagonal Elements are the ones that occur from Top Left of Matrix Down To Bottom Right Corner.
What is a Normal?
A Normal is the Square Root of all the Elements in the Trace of a Matrix.
Also Read: C Program To Find Sum of Major Diagonal Elements
C Program To Find Trace and Normal of Matrix
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 | #include<stdio.h> #include<math.h> int main () { int arr[5][5]; int i, j, normal, trace = 0, rows, columns, sum = 0, temp = 0; printf("\nEnter Number of Rows of Matrix:\t"); scanf("%d", &rows); printf("\nEnter Number of Rows of Matrix:\t"); scanf("%d", &columns); printf("\nEnter the Elements of Matrix:\n"); for(i = 0; i < rows; i++) { for(j = 0; j < columns; j++) { scanf("%d", &arr[i][j]); } } for(i = 0; i < rows; i++) { for(j = 0; j < columns; j++) { temp = arr[i][j] * arr[i][j]; sum = sum + temp; } } normal = sqrt(sum); printf("\nThe Matrix\n"); for(i = 0; i < rows; i++) { for(j = 0; j< columns; j++) { printf("%d\t", arr[i][j]); } printf("\n"); } for(i = 0; i < rows; i++) { trace = trace + arr[i][i]; } printf("\nTrace of Matrix:\t%d\n", trace); printf("\nNormal of Matrix:\t%d\n", normal); return 0; } |
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To compile this program in Linux Ubuntu, you need to type the following command:
1 | gcc test.c -lm |
Output
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I had never heard of the concept of Trace and Normal in a Matrix before.