Question 1:

Write the solution set of the given homogeneous system in parametric vector form. 2x, + 2X, +4Xg = 0 - 6X, - 6X, -12x3 = 0 where the solution set is x = X2 -4X, + 4X3 = 0 X = X3 (Type an integer or simplified fraction for each matrix element.)Describe all solutions of Ax = 0 in parametric vector form, where A is row equivalent to the given matrix. 2 -4 10 1 2 -5 X = X2 + X3 (Type an integer or fraction for each matrix element.)Suppose the solution set of a certain system of lineal equations can be described as x1 = 5 + 3x3, x2 = 4 9x3, with x3 free. Use vectors to describe this set as a line in R3. Geometrically. the solution set is a line through parallel to