Consider the kth iteration of the simplex method as defined in Algorithm 4.2 of the textbook. (a) Show that the matrix Ak+1, def
ined by replacing the sth row of Ak by the tth row of Ak is nonsingular. (The index t Wk is such that ak = σ, and the tth constraint is called a blocking constraint.) (b) Show that the component of the Lagrange multiplier λ, at xk+1 corresponding to the new constraint in the working set must be positive. (This implies that it is impossible to delete the constraint that was just added.)
The solution and complete explanation for the above question and mentioned conditions is given below in the attached document.i hope my explanation will help you in understanding this particular question.
