Identity matrix program in C language-C++-php.cn

Identity matrix program in C language

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Release： 2023-08-30 10:45:05

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Identity matrix program in C language

Given a square matrix M[r][c], where "r" is a certain number of rows and "c" is the column such that r = c, we have to check " Whether M" is the identity matrix.

Identity matrix

The identity matrix is also called the identity matrix of size nxn square matrix, in which the integer value of the diagonal elements is 1 and the integer value of the non-diagonal elements is 0 p>

Like the example given below-

$$I1=\begin{bmatrix}1 \end{bmatrix},\ I2=\begin{bmatrix}1 & 0 \0 & 1 \end{bmatrix},\ I3=\begin{bmatrix}1 &0 & 0 \0 &1 & 0 \0 &0 &1 \end{bmatrix},\In=\begin{bmatrix}

1 &0 &0 &...&0 \

0 &1 &0 &...&0\

0 &0 &1 &...&0\

. &. &. &...&.\

0 &0 &0 &...&1\

\end{bmatrix} $$

Example

Input: m[3][3] = { {1, 0, 0},
   {0, 1, 0},
   {0, 0, 1}}
Output: yes
Input: m[3][3] == { {3, 0, 1},
   {6, 2, 0},
   {7, 5, 3} }
Output: no

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Algorithm

Start
Step 1 -> declare function for finding identity matrix
   int identity(int num)
      declare int row, col
      Loop For row = 0 and row < num and row++
         Loop For col = 0 and col < num and col++
            IF (row = col)
               Print 1
            Else
               Print 0
      End
   End
Step 2 -> In main()
   Declare int size = 4
   Call identity(size)
Stop

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Example

#include<stdio.h>
int identity(int num){
   int row, col;
   for (row = 0; row < num; row++){
      for (col = 0; col < num; col++){
         if (row == col)
            printf("%d ", 1);
         else
            printf("%d ", 0);
      }
      printf("</p><p>");
   }
   return 0;
}
int main(){
   int size = 4;
   identity(size);
   return 0;
}

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Output

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