Introduction to Programming in C Slot 1: Question 3 Solution

Slot 1: Question 3

Due on 2020-12-05, 11:00 IST

A complex number is represented as a pair of floating point numbers

- (a,b) represents the complex number a+ib, where i is the square root

of -1.

You are given a 3x3 matrix (let us call it M) of such complex

numbers. The matrix is called Hermetian if for every row i and column

j, M[i][j] is the conjugate of M[j][i]. That is to say, if M[i][j]

represents the complex number a+ib, then M[j][i] should represent the

complex number a-ib.

You must output the number of entries M[i][j] such that M[i][j] is NOT

the transpose of M[j][i]. (If the matrix is actually Hermetian, then

this number will be 0.)

Hint: You can use

      scanf("(%f %f) ",&x, &y);

to read a pair of floating point numbers in the given format into

  float variables x and y. Please note that there is a space after the

  closing bracket ')' and the closing double quote.

Your last recorded submission was on 2020-12-05, 10:42 IST

Select the Language for this assignment.      --                     C               

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#include<stdio.h>

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#include<stdlib.h>

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int main(){

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  float real[3][3];

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  float comp[3][3];

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  for(int i=0;i<3;i++){

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    for(int j=0;j<3;j++){

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    scanf("(%f %f) ",&real[i][j], &comp[i][j]);

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    }

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  }

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  int c=0;

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  for(int i=0;i<3;i++){

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    for(int j=0;j<3;j++){

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      if(!(real[i][j]==real[j][i]&&(comp[i][j]==-comp[j][i]||comp[j][i]==-comp[i][j]))){

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        c++;

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      }

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    }

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  }

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  printf("%d",c);

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}

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