Solve all questions, showing your work in reasonable detail. Finish your calculations: when the results can be reduced to numbers, calculate those numbers. The purpose of the assignment is to help you learn the material in this course; therefore, you are expected to use only the methods and concepts that are specific to this course. Submit the answers in only ONE file, preferably PDF, in Blackboard. 1) Calculate the following determinants ( show your work ): la ) 2 16) lab atb - lath a- bl 0 Id ) T - 5 4 2 t -1 -11 -2 20 2 ) if IAl = 3, where A is a 3 x 3 matrix, calculate the following: Za) det [ ZA ) 26 ) det ( A 3 ) 2c det ( A'A )3 ) Use Cramer's Rule to solve the system X, + 3 X 2 - 1 =0 3 x1 - 2 x2 - 14 =0 4) Solve the following equation for * : X 8 X -2 1 =05) In the following macroeconomic system, Y is GDP C is consumption, I. stands for public investment and Go stands for public expenditure; GDP and consumption are exogenous ( variables to be determined ) , white Is and Go are given ( exogenous ) . Use Cramer's Rule to solve the System for Y and C: Y = C+J+G. C = at by