Hello I apologize for some reason when I try to crop the picture to sit up right it does not work. I need some help with Linear Algebraic questions.

Thank you.

(Section 1.1) 20 points 1. Use the parametric equations to describe the solution sets of the given linear systems. a. 611 + 212 = -8 3x1 + 12 = -4 2x - y + 2z =-4 b. 6x - 3y + 62 = -12 -4x + 2y - 42 = 8 (Section 1.2) 20 points 2. Solve the given linear system by both Gaussian and Gauss-Jordan elimination. -26 + 3c = 1 3a + 66 - 3c = -2 6a + 6b + 3c = 5 (Section 1.3) 20 points 3. Reduce the given matrix to reduced echelon form without introducing fractions at any intermediate stage. 10 1 3 0 -2 29 13 5 (Section 1.3) 20 points 4. Use the following matrices to compute the indicated expression if it is defined. 3 5 2 A = 1 1 1 2 4 6 1 3 E = -1 1 2 4 1 3a. 2AT + C b. DT - ET c. (D - E) d. BT + 5CT e. ACT _ _ 2 A f. B - BT g. 2ET - 3DT h. (2ET - 3DT) T i. C(BA) j. tr (DET) 20 points thook a. Express Equations (5) as a homogeneous linear system of three equations in four unknowns (x, y, z, and K), and show that the solution set has one arbitrary parameter. b. Find the smallest solution for which all four variables are positive integers. c. Show that the solution given in the example is included among your solutions