Question

please help with these 3, thank you!!

Use either Gaussian elimination or Gauss-Jordan elimination to solve the given system or show that no solution exists. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, use t for the parameter.) X1 - X2 - xy - 1 2x + 3x2 + 5x - -9 X1 - 2x2 + 3x3 = -13 (X2, X2, xg) - ( [ ) х eBook DETAILS 2. (0/1 Points) PREVIOUS ANSWERS ZILLENG MATH6 8.2.015. MY NOTES PRACTICE ANOTHER Use either Gaussian elimination or Gauss-Jordan elimination to solve the given system or show that no solution exists. (If there is no solution, enter NO SOLUTION. If the system has an infinite number of solutions, use t for the parameter.) X1 + X2 + x3 - 11 XX₂Xg5 3x + x2 + xy - 17 (X3, X2, Xy) - х eBook uit Anwar

Answer 1

Data 0 Eliminating म we get Gaussian Elimination Method x-2-% = 1 231 + 21, +513 =-9 24 – 252 + 373 = -13 from @ + oing o we get Equation © 2x0 and Equation -+++3 -X₂ +483 Eliminating tz from & we get equanon(4x) + (4) 67 -2373 -67 &z= 4 -T4 get pat in S we get i y = 14+422 S4 12 = 23 put in o we qet 31 = 1+12 +13 24 to Answer: System has unique (51,22,23 ) = -54 10 Solution -67 23 3

By Gaussian ① & ② uringo Eliminaion Method 4th + x = 11 21-% - % = 5 3x1 + x2 +22=17 Eliminabing 2012 fypm O-0 and 3x -2x - 223 -212 Itz Both equation ① and ② are Sune *2 + z = 8 system hay infinite number of Solution : put is parameter 576 . from @ g=t 1.= $-t 1 law from x=3 Answers systein has infinite number of folutions (a,x) 3, 9-4, +) Küchoff's Voltage -31, +5+3 =15 :- 6 13 -5 13 = 34 By Kirchoff's Current law I t Iz = I₂ I-F2 + Iz =0 loop_@ Hoop 3

By Gaussian methad *wring- as it is Eliminahon Eliminabing It fram © + 3x3) and 2 -612-5 I3 = 34 -3% + siz 15 Eliminating As 2 @ 4 6 we get I from 2x 4 D 21I3 Iz =-4 2) I z = - 347 we get 63 put in a น่ง e put in o q et Z -335 63 Answers firietis, -335 63 -347 63 2)