Question

please help!!!

Use an inverse matrix to solve each system of linear equations. (a) x + 2y = -1 x-2y = 3 (x, y)=( (b) x + 2y = 7 x - 2y = -1 (x, y) = Use an inverse matrix to solve each system of linear equations. (a) X1 + 2x2 + x3 = 0 X1 + 2x2 - *3 = 2 X1 - 2x2 + x3 = -4 (X1, X2, X3) - (b) X1 + 2x2 + x3 = 0 X1 + 2X2 – x3 = -2 X1 - 2x2 + x3 = 0 (X1. X2, X3) =

Answer 1

b) at 2y = -1 X so n-zy AX= B is the given system for finding [13] where A X=AB find at -b d 3 41 ad-bc aldi 4 1 X = A'B - 71 7) - (-). [X=[] 1 4 4 X=(ny) (1,-117. Ans b) 9 +2y = 7 AXE B [:*( 7 -) = -1 x-2y for Hind x Compute A = 2 4 A TB 1 u 2 دلم 4 4 1 3 7 2 2 7 + 1 4 4 - x=(my) = (312)] (2) X = A'B required valu dur of x.

1a *1 +232 +93 - 0 9, +21 % = 2 24 +913 where A 1 2 1 21 This is AX= B wystem of equation we need X= A'B so find at of then our nomal way of finding inver By fuding determunant f adyaint (adja) A To find & use it to tüüd x using 1/2 12 14 -1/4 12 11/20 xa AB 1/2 14 1/ 2-1/2 0 of A A I detal 112 "mwen 1/8 Heuce с 524 Il 1-2 72-0 T X= 1711, 312, 313) = (-1,',-1) is owu ruquird auswer. (b) AY calculate above so Ax=B where B=10, -2,0) XEA'B where we haul just A' 0 1 2 2 1/2 o'z 12 1/4 0 -1/4 o.114 '12 - 0 V2 % 0 0 AB: 14 ll 2 х c we get y Y = A'B = (M1, M2,93) 10,-2,0) X = (M1, M2, 43 )= (0,-2,0) Hence Question . we ham solue all 4 paists of the given