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Question 21: Write a C++ program to solve the following linear system using the Gaussian Elimination method with partial pivoting. For simplification, specify the linear system within the program. 1.7x2 + 2.3x2 1.5x3 2.35 1.1x1 + 1.6x2 1.9x: -0.94 2.7x7 2.2x2 + 1.5x3 2.70 #include #include using namespace std; #define n 3 // number of unknowns int main() { char quit ; int i, j, k,n,r; double a[n][n] = {{1.7, 2.3, -1.5}, {1.1, 1.6, -1.9}, {2.7, -2.2, 1.5}}; double b[n] = {2.35, -0.94, 2.7}; // right-hand side constants double x[n]; // solution vector double sum , temp, tempi, multiplier ; 11 Processing Section -- // // Forward Elimination Phase Il Searching largest absolute coefficient in theith column for partial pivoting for(i=0; i=0; i--) { sum = 0.0 ; for j=i+1; j> quit ; return 0; } Remark: The C++ program in Question 21 can be modified to receive the linear system at the execution time (instead of fixing in the code). For this, lines 10 and 11 in the solution of Question 21 should be replaced by the following code segment: Input Section cout> a[i][j]; cout> b[i]; Question 24: Write a C++ program to solve the following linear system using the Doolittle's method. For simplification, specify the linear system within the program 1.7x + 2.3x 1.5x = 2.35 1.1x, + 1.6x 1.9x, = -0.94 2.7x, 2.2x + 1.5x, = 2.70 #include using namespace std; #define n 3 int main() char quit; int i, j,s; double a[n[n] = {{1.7, 2.3, -1.5}, {1.1, 1.6,-1.9} , {2.7,-2.2, 1.5}}; double b[n) = (2.35, -0.94, 2.7}; // right-hand side constant vector double x[n]; double unjin. I[n][n],y[n], sum ; 1/------- Processing Section -1/ // Formation of Land U as factors of A, i.e., A=LU for(i=0;i=0; i--) { sum = 0.0 : for(j=i+1; j> quit: return 0; } Remark: Replace the lines 9 and 10 in the solution of Question 24 with the following code segment to receive the linear system at the execution time (instead of fixing in the code). Input Section cout> a[0]: cout> b[i]