Problem Set 31 Applications of Determinants Objectives: * Find the area of parallelograms {and similar shapes) using determinants * Use Cramer's rule to find values of an inverse matrix Problem 1: Find the areas of the shaded regions below. Problem 2: Consider the system of equations: x+y=2 -y+ 37 =4 2x+y+2=0 Suppose we wanted to solve this system for z only using Cramer's Rule. a. Find the determinant of the coefficient matrix A (using any method). b. What is the matrix By, as defined for use with Cramer's Rule? c. Find the determinant of B.. d. Solve the original system for z