Please solve this question with steps

5. Determine whether the following statement is true or false. Justify your answer with the proof or a counterexample. a) The line x = 7 - 6t, y = 3 + 2t, z = 5 + 4t (t e R) is perpendicular to the plane (x, y,z) = (1, 2, 1) + s(2, 0,3) + t(1, 1, 1) (s, tER). b) If A is a 2 x 2 matrix such that tr(A) = 0 then det(/ + A) = 1 + det(A). c) If A is a matrix such that A-1 = At then det(A) = 1. d) The points A(1, 2,3), B(2, 1, 6)and C(3, 0,9) are collinear