Question

get the value of h and the general splution in vector form

21+ 2+x3 +2x4 = 3 2x1+2x2+3x3+3x4 = h 5x1+5x2+6x3+9x4 = 10

Answer 1

Solution 4 + H2 + y + 284 23 241 +222 F B Hz + 3x4 sh 501 +502 +683 +9xy zlo co-efficient mateix A- - 1 2 2 3 5 9 2 3. od mateix A2 Augmented 2 3. 3. 9 5 5 6 How doing cron operation, on à we get, Ā 2. 2 2 3 3 55 6 9 3. h To R₂-2 Riy 1 0 R3-5R 2 3 - 1 h-6 1 -1 -5 0 0 R. - 202 4 15-2h h-6 O -1 RB-2 R2 0 0 0 1-h

So the given rystein iedz + 4x4 Az - xy is equivalent to LO 2.15-2h hob and 0 alth from we get hal putting this value of in of ② we get Mpenz + 4x4 = 13 - ny and Now, let, nyek and let to, da l-5. 222 l 7) 04 So, td as Uk 213 a (3 l - 4K . Generals socution is (a, , na) = (13-1-4k, d, 4-5;k) (13,0,0,0) + d. (-1,1,0,0) + K(-4,0,1,1) for any lk. general solution which is the required form, 0 m vector