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129 lines
2.9 KiB
C++
129 lines
2.9 KiB
C++
#include <iostream>
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#include <stdio.h>
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#include <stdlib.h>
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using namespace std;
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int main(int argc, char **argv)
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{
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cout << "Enter the dimension of the matrices: ";
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int n;
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cin >> n;
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cout << "Enter the 1st matrix: ";
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double a[n][n];
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for (int i = 0; i < n; i++)
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{
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for (int j = 0; j < n; j++)
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{
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cin >> a[i][j];
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}
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}
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cout << "Enter the 2nd matrix: ";
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double b[n][n];
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for (int i = 0; i < n; i++)
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{
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for (int j = 0; j < n; j++)
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{
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cin >> b[i][j];
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}
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}
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cout << "Enter the result matrix: ";
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double c[n][n];
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for (int i = 0; i < n; i++)
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{
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for (int j = 0; j < n; j++)
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{
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cin >> c[i][j];
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}
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}
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//random generation of the r vector containing only 0/1 as its elements
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double r[n][1];
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for (int i = 0; i < n; i++)
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{
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r[i][0] = rand() % 2;
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cout << r[i][0] << " ";
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}
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//test A * (b*r) - (C*) = 0
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double br[n][1];
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for (int i = 0; i < n; i++)
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{
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for (int j = 0; j < 1; j++)
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{
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for (int k = 0; k < n; k++)
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{
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br[i][j] = br[i][j] + b[i][k] * r[k][j];
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}
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}
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}
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double cr[n][1];
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for (int i = 0; i < n; i++)
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{
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for (int j = 0; j < 1; j++)
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{
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for (int k = 0; k < n; k++)
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{
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cr[i][j] = cr[i][j] + c[i][k] * r[k][j];
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}
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}
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}
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double abr[n][1];
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for (int i = 0; i < n; i++)
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{
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for (int j = 0; j < 1; j++)
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{
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for (int k = 0; k < n; k++)
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{
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abr[i][j] = abr[i][j] + a[i][k] * br[k][j];
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}
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}
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}
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// br = multiplyVector(b, r, n);
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// cr = multiplyVector(c, r, n);
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// abr = multiplyVector(a, br, n);
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//abr-cr
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for (int i = 0; i < n; i++)
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{
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abr[i][0] -= cr[i][0];
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}
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bool flag = true;
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for (int i = 0; i < n; i++)
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{
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if (abr[i][0] == 0)
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continue;
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else
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flag = false;
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}
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if (flag == true)
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cout << "Yes";
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else
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cout << "No";
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}
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/*
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Enter the dimension of the matrices: 2
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Enter the 1st matrix:
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1 2
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2 3
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Enter the 2nd matrix:
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1 3
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3 4
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Enter the result matrix:
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9 9
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14 15
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Yes
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Enter the dimesion of the matrices:
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2
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Enter the 1st matrix:
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2 3
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3 4
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Enter the 2st matrix:
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1 0
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1 2
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Enter the result matrix:
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6 5
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8 7
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Yes
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