Question

(ii) (1 pts) Use Part (i) and the method of matrix inverse to solve the following system of equations. Other methods receive NO credit. 1 -Y + 2 = 1 2.1 - y + 32 = 1 - +y = 2

Answer 1

Griven system y tz1 24-4+32 -xty a 2 coefficient mulsin A Solve the systm by using inverse method first to find At now nar: - 17 2 - 3 clerini 12 - 1 l 3 - 1 [0.3J+1 (0 + 3] + [2-13 3 -3+3+ ! -170 이다A의 At i exist To find At by using action co-factor method Ata I adj(A) det(A) to first to find ca minor ana cult mua 6131

alla (0-3) = -3 I +2 a42= 65 M2 = 16-18 12 3 1 2 -1 [013] = -3 1t3 C43?(-1) Mig: C-3111112-11-1 94261322 (431" '12-(0-13 = 1 22.-c-1) en CL1 [ot] =) aga M23= cost all cuan 4313 (13" Mara (SP 31-7(1341) = -2 312 932 = (-1) in 22 = 6451 127 [3-2] = -) 15 ci imas: 60137(-34 mino of cofultora 44 422 L231 ag2 423 033 1 L-2 Adj (A)= (-3

A7- ndi A 이디n) matnn equation Axab com (premultiplay by At ) AtAxa Alb I X2 Atb X = Atb -3 3 -27 / 1 1 - 3+1-47 -3+1-2 I tot2