Question

write c++ to solve this linear system.

Given 2x+4y-z 2 -2x -3y +7z 10 Write a program to solve the linear system above using Gauss- Elimination. Question2 Let f(x) = x3-6x2 + 11x-6, Write a program to i) Check whether the root exist in the interval: a) .5, 5.0] b) 2.5, 4.0] ii Based on interval found in 4(i), find the root using Bisection method. Do your calculation in 4 decimal points and 0.0001. Programming language: C or C++

Answer 1

C programme

#include<stdio.h>
int main()
{
int i,j,k,n;
float A[20][20],c,x[10];
printf("\nEnter the size of matrix: ");
scanf("%d",&n);
printf("\nEnter the elements of augmented matrix row-wise:\n");
for(i=1; i<=n; i++)
{
for(j=1; j<=(n+1); j++)
{
printf(" A[%d][%d]:", i,j);
scanf("%f",&A[i][j]);
}
}
/* Now finding the elements of diagonal matrix */
for(j=1; j<=n; j++)
{
for(i=1; i<=n; i++)
{
if(i!=j)
{
c=A[i][j]/A[j][j];
for(k=1; k<=n+1; k++)
{
A[i][k]=A[i][k]-c*A[j][k];
}
}
}
}
printf("\nThe solution is:\n");
for(i=1; i<=n; i++)
{
x[i]=A[i][n+1]/A[i][i];
printf("\n x%d=%f\n",i,x[i]);
}
return(0);

}

Input/output

Enter the size of matrix: 3

Enter the element of augmented matrix raw-wise:

A[1][1]=2

A[1][2]=4

A[1][3]=-1

A[1][4]=2

A[2][1]=4

A[2][2]=9

A[2][3]=-3

A[2][4]=8

A[3][1]=-2

A[3][2]=-3

A[3][3]=7

A[3][4]=10

The solution is :

X1=-67/7

X2=36/7

X3=8/7