Question

Provide a geometric comparison with the solution set of the second system of equations shown below.

Describe the solutions of the first system of equations below in parametric vector form. Provide a geometric comparison with the solution set of the second system of equations shown below. X1 - X2 + 3x3 = -3 Xy - X2 + 3X3 = 0 2Xq + x2 + 3x3 = - 9 2 xy + x2 + 3X3 = 0 where the solution set is x = - xq - 2X2 =6 -X₂ - 2X2 =0 O A. X= OB. X = x2 oom OD. X=x2 - +x3

Answer 1

R1-a2+333 = -3 qa, taataz=-9 -R1-229 = b. Augmented matrize ri -1 31-37 1 q 3 -9 La olbu Re Rę – QR R3 → R3+Ri. ri - 31-37 o 3 -3 -31 lo-3 3 1 3 1 R3 R3TR2 ri - 31-37 TO 3 -3 -3 Loo 0 1 0 21-22+33 = -3 22-23 = -1 đo - 1&3 2x=x2-303-3 213-1723-323-3 = -4-223 a=fala r-4-2237 = -1 +223 Lau J 3 a9

xl-art3a3=0 zaltzez t3 #3=0 -Q1-2&q=0 rin 31 on | -1 -2 010) Re Re-ERI R3- R3+RI ci - 31on 10 3 - 3lol lo -3 3 10 y - R3 R3tRq ri - 3lol 0 3 -3 1 0 ! Oo oo 21-22+3a3=0 22-23 = 0 #3=a2 21- 22-323 = 23-323 = -243 aray raaz) 23 æ- 23