Rexel university, conebe o been 4. solving systems of equations using gauss-elimination (also called row reduct solving systems use gauss-jordan reduction to transform you can the augmented matrix of each system in problems 24-36 to work in ma rref use it to discuss the solutions of the system (i. e., nothe rref con solutions, a unique solution, or infinitely many solutions) 28. 29. x-+ 4x2-55)=0 x- y-2z=1 2x +3y +z 2 5x + 4y+2z = 4 34. x+2y +z=2 35, x+2y +z= 2 2x- y+2z = 3y + z=-2

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?