Question

-trix Example 1: Solve the following systems by finding the inverse of AT 13x+y = 3 ems by finding the inverse of the coefficient matrix. [21] B[] cx[j] ab 2 lil (x-2y=8 A -1 Find Al=ad.bc = 1(1) - 1(2) = -1 to 2 x + y = 1 12x + y = 3 A TAL- Z1J IN X=-4+3 x -y=1 sx+y=3 TGA 16-17 -11-25 -110/= 9. x - y = 1 X = A B - 27- 177 2 - 3 1-1/1J+1 (3) 7 22 (1) + (-1) (3) sx-3y=5 - 2x + 6 y = 8 4. -

Answer 1

D Given AX = 8 (11) - = 17.101= -1 do At ady (0) TAL air-2 -17 -7 | | +3 ) ***** w so | y = A B = 2 o بلال @ Cen Civen AX +8 + B :J ()=(:) A = 6 13 AL 31-2=-1 Hotel 46:19=6:] * x=nto = 1 114) =(4)-()

© AX Cien, ax =8 = [' }] [] = [3] Art 4), 141==14=1 1-1-17 At -|- TIN X * (- 9) = [] 3 -1 fo = 2 © Given x-3y = 5 7 AX =B-(1,3)01-13) -26 - 2x + 6y = 8 1-26 = A=:3] 1936-650 go A is not invertible. Therefore it doel not exists. Therefore so there is no solution for given system g equations