Solve using Gauss-Jordan elimination. 4x1+ 18x2-44x3= 62 3x1 31x2- 76x3 -126 x7x

Question

Solve using Gauss-Jordan elimination. 4x1+ 18x2-44x3= 62 3x1 31x2- 76x3 -126 x7x2-17x3 27 Select the correct choice below and fill in the answer box(es) within your choice. 0 A. The unique solution is x1-L].x2?? 1, and X3 = 1. OB The system has infinitely many solutions. The solution is x1= x27 andKg=t. O The system has infinitely many solutions. The solution is x,- , x2 = s, and x3 = t. O D. There is no solution. (Simplify your answers. Type expressions using t as the variable.) (Simplify your answer. Type an expression using s and t as the variables.)

Explanation / Answer

Augmented matrix for given system of equations

solution using Gauss-Jordan elimination

Your matrix

Find the pivot in the 1st column and swap the 3rd and the 1st rows

Eliminate the 1st column

Make the pivot in the 2nd column by dividing the 2nd row by 10

Eliminate the 2nd column

Find the pivot in the 3rd column in the 3rd row (inversing the sign in the whole row)

Eliminate the 3rd column

Solution set:

x1 = -5

x2 = 7

x3 = 1

X1 X2 X3 b 1 4 18 -44 62 2 3 31 -76 126 3 1 7 -17 27

Related Questions

Navigate

• Browse (All)
• Browse S
• Subjects

---