Question

Find the solution puces of the linear systems a 1 -2 3 11 x lol | 2 4 6 11 :10 13 -6 9 12 10 1-24 6 12) Oo Tos lxlle - 110 0|| 8- t Zl12 In o di loool1x1 sol ooo Il 90 looo JI ZJ 10 3

Answer 1

SIA) = 34118) of Variable - systemis consistent b7 1-23 127 TO 11-23 -378 12-46 y 1-2 4-6 1 0 -69 consider 1-2 310 Transforming to Row Redued -3 7170 Echelon form 1-24 -60 Ronsider R2 R2+3R1 R3 R3+2R1 [A16] : [1 -2 3/07 12 -460 Ti - 2 307 L 3 -6 90 e | 0 | #1 0 I Looolol = 2 <3 [NO- R22 R2-2 R1, R2R3-32 Ti-23107 n i -2 3 1097 17 01 I loooo Lo o o lo 10 & hay SCAS CAB) 212_(No.of variabel R17 R1 +2 R2 inlinitely .; -2y +320 many System has in tinitely many soy! Tio 37 x=2432 Solutions ya Qzbiter (ki) | oo po z = ar bitery CIC2). which is corresponding to ,,25 281-312 System yz K 2 + 372 = 0 Z=12 y +17 ZOO .. System Low Infinitely monysolution The system key in tiniting mary solutions Ax=B had *1) 3 (A)= 311B) → unique solution 2= -372 2) SLA) = $CAJB) No-ot vrables y = -172 then system hou in t'nitely many Z = arbitary sey k solution .. . - 375 3) 3(A) + PAB) system is in consistent has y=-176 no solution. 2-k. OI 17

- 2 3 3 7 - 89 4 1 2 2 o converto 1-2 S10 RREF 45. 1-3 7 -8 0 4 1 2 O R2 R2+36, R3=83-UR 1 - 2 370 STAB) = PLA) 23. To T oTo system is consistent Lo g -10/0 T shey unique solution R3 R3 - 982 1 -2 TOTO TOO-1910 R3 R3 (19) 1 -2 3 OTTO 7 TO 0010 AB= 0 0 0 0 lo ooo RREE is Tooolo OOOO Rg → R2-R3 T -2 3TO 101 00 Too To Ri RitaRe 3 10 STA)= CAB) <3. : system is consistente has infinitely bolution au ki y = 12 Z=k3. R RI-BR3