a. Find the general solution to the linear system and confirm that the row vectors of the coefficient matrix are orthogonal to the solution vectors. x₁ + 3x2 - 4x3 = 0 x₁ + 2
x₂ + 3x3 = b. (i) Find a homogeneous linear system of two equations in three unknowns whose solution space consists of those vectors in IR³ that are orthogonal to a = (-3, 2, -1) and 5 = (0, -2,-2). (ii). What kind of geometric object is the solution space? (iii). Find a general solution of the system obtained in part i., and confirm that Theorem 3.4.3 of the textbook holds. b. i.