Question

Solve the following system of equations by using the inverse of the coefficient matrix. - 6x - y + 8z = 50 -8y + 8z = 40 4x + 6y + 4z = - 16 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution of the system is (Simplify your answer. Type an ordered triple.) where z is any real number. There are infinitely many solutions. The solutions are x = and y= OB. (Use integers or fractions for any numbers in the expression.) O C. There is no solution.

Answer 1

Coefficient Matrix of A= 1-6 - 8 O- 8 4 6 4 x = B- Given systeros can be written as Ax: = 8 Lala deta= -6168 09118]+81:-) =-61-32-482+ 1 (0-32)+ 8(0+32) 2-66-80)-32+ 256 = 704. ²0 cofactor Matrix of A= to l those l honda "+(-32-48) -(0-32) 1-2-4-48) (-24-32) (68+64) -(-4801 (0+32) - (-36+4) (48-o) 32' -80 52 32 - 56 32 48 56 48 (-80 52 32 -56 32 32 56 48 48 Adja - (cofactor matriz Of A)" A = Adja TAI 104 5-80 5256 32 56 48 32 32 48.

AX -B ię, x=AB SO 1 -80 52 204 32 -56 32 32 56 48 48 16 X=1 704 - 4000 + 2080-896 1600-2240-768 1600+ 1280- 768 704 -2816 1408 2112 ie X=-4, 9=-2, 2=3. Vecification (1-68-y+87=-66-47-(-2)+ 8 (3) = 24+2+ 24 50 Cli) - By+ 8z =-842)+8(3) =+16+24 =40 (ii) 4x+6y+42 = 46-4+66-2) +4(3) =-16-12+12 =-16.