Write the solution set of the given homogeneous system in parametric vector form. 2x₁ + 2x2 + 4x3 = 0 - 6x₁ - 6x2 - 12x3 = 0 - 7x2 - 21x3 = 0 where the solution set is x = X=X3 (Type an integer or simplified fraction for each matrix element.) X1 X2 X3

Write the augmented matrix as a system of equations Г1 0 0 1 1 3 2 350 -2 250 3 100 y + y + y +

Describe and compare the solution sets of x₁ +5x₂ - 2x3 = 0 and x₁ + 5x₂ - 2x3 = -7. X1 E Describe the solution set, x= x₂ of x₁ +5x₂ - 2x3 = 0 in parametric vector form. Select the correct choice below and fill in the answer boxes within your choice. X3 (Type an integer or fraction for each matrix element.) OA. X= O B. X=X3 C. X=X₂ O D. X= + X3 X1 E x2 of x₁ + 5x₂ - 2x3 = = -7 in parametric vector form. Select the correct choice below and fill in the answer boxes within your choice. x3 (Type an integer or fraction for each matrix element.) OA. X= B. X= +X₂ Describe the solution set, x = O c. x= O D. X=X₂ +X3 +x₂ + X3 +X3 Which option best compares the two equations? O A. The solution set of the second equation is a plane perpendicular to the line that is the solution set of the first equation. O B. The solution set of the second equation is a plane parallel to the plane that is the solution set of the first equation. OC. The solution set of the second equation is a plane parallel to…