Question

Use multiplicative inverse method to solve the following system of linear equations 4x + y + 3z = 15 2x - y + 4z = 12 5z + y = 17

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Abdul-Rahim Taysir

Answer 1

* Given system of equations are 4x+y +3Z =15 2x -y +42 =12 5zty = 17 The equations can be written in the matrix foem as 4 ] :ll 15 12 17 y 2-1 It is in the form AX=D. Here A = 4 2-1 3 4 5 ( 3 det A = 4. 2 1 4 5 0.1 7. ='4(-5-4)-1(10-0) 63(2-0) 41-9) -10 + 6 -36 -10 + 6 -40 70 det A to ...A is Non-singular Hence Al existei Cofactol matrix 4 let 24 à 5 5 Sajle (-1)+2/3 (tilf318 / (H2P2 18 3331 643263 / 1871 (-1*)', I totalment -1*3]2.471 (41241 15

2 이 9 2 20 + 구 10 -6 -2 - ㅋ adja = @factor matarz)T = 20 10 HO - 6 2) We hare 업 ada deta - 9. 22 91 커 10 20 -40 2.9) -9-6 오 그 ol - 20 Go ) 닐 . 3 20 220 rd 맹 matrix Inversion methal, x=40 59 Yo - 7: 40 이 Xs is 걸 12. 4 1구 3 20 ( 2 12 1 fo 13S 140 f X = 20 40 21 6fR F 60 12 LS + f SI 20 ro X 2. The solution 2 9 근 3.