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Question1: Four heroes (Link, Mipha, Urbosa, Teba) purchase items at a shop to prepare for a quest: . Link gets 13 arrows, 5 bombs and 1 potion for 162 rupees. . Mipha gets 4 arrows, 2 bombs, 1 shield and 1 heart for 77 rupees. . Urbosa gets 1 bomb, 4 potions and 5 hearts for 86 rupees. . Teba gets 1 bomb, 2 potions and 1 shield for 57 rupees. a) Represent the system using an augmented matrix and reduce it to REF using elementary row operations. b Find a parametric solution for the cost of each type of item. c) If hearts are 5 rupees each, find the standard matrix representation of the system, and solve it using either the inverse matrix method, or using the solution from part b) (or both!). Question2: Samus is floating in 3D space at point (4, -3, 5) and facing in the direction Samus can "see" any enemies that are within 190 of the direction she is facing. An enemy Nova is located at (9, -8, 3), and an enemy Dragon is located at (-1, -4, 2). a) Use dot products to determine if either of these two enemies are visible to Samus (i.e. determine if Samus can "see" either of them) b ) Represent the region of space where all enemies are barely visible to Samus using an equation of a plane in standard form