Question

Thank you! Solve using Gauss-Jordan elimination

2x1 + 6x2 - 26x3 = 18

4x1 + 3x2 - 16x3 = 0

x1 + x2 - 5x3 = 1 Select the correct choice below and fill in the answer A) The unique solution is x1=_________, x2 = ________, and x3 - _________. B) The system has infinitely many solutions. The solution is x1 = __________, x2 = _____________, and x3 = t. (Many thanks for the help) Sandi  

Answer 1

solutoni Given 2n,+672 - 26 x 3 = 18 4*, + 3*, - 16 x3 = 0 *.+ 18-593 / Convent the given equaton into - AX= B form 2 6 -26 7 14,1 4 3 -16 1 2 L 5 L "3] Now the adjacent matrix OB) 12 6 -26 1 187 R, - R,/2 i 3 -13 1 ao?

R2-) R2-4R, ni 0 3 -9 -13 36 Rg -> R₃-R, r. 3 -13,97 10 -9 36 -36 lo -2 ol 8) Rus Belia 1 3 -13 19) o ;-414 lo - 281-8) R, R.-3R2 lio -1-3 + L LO -2 81 a

R3 - Rg+ 2 R2 eoj 0 1- (E-1 Loool of here the answer is 2,- 47: -3 - 4 - 423 = 4 0:0 Led "=0 from G o s 2 x3 = -3 2,-==-3 2,5-3++ from Eqs & in 2-473=4 42-46=4 P4+4 = 4 Jopton Blis correct x = -3+t Ng= 4+46 net