optimization question if u can solve this it would be great also i have another post same type questions. thank you

2. (10 pts.) Apply one iteration of inverse BFGS with the updated rule HAI = He + (1 + WA HAVE ) SAST _SAVE HA + HAVES where 8% = Ex+1 - 24 and yx = V/x+1 - V/ for the function / (21, 12) = 27 + x], starting from zo = (1, -1)" and initial inverse Hessian guess # = 6 9 For computation of the step-length, use exact-line search method. Compute the updated Hessian and indicate whether the updated Hessian is positive definite or not. 3. (10 pts.) The Symmetric Rank-1 quasi-Newton Method is given by ButI = By + (UX - BASA)(UN - BASA) Using the Sherman-Morrison-Woodburry formula A = At ob, A-1 = A-1_ A labJA-1 1 + b A-1a prove the updating method for Ha, the inverse of By; HA+1 = HA+ ( S& - HAVE)( SK - HAVE) (SE - HAVE) DA where B& = FA+1 - Th, VX = V/*+1 - Vfx