Suppose you have the following national income model:

Y - C = G_o

-0.4Y+ C = 92 -0.45 T

-0.30000000000000004 Y + T = 202

Where G_o= 369

Convert this system of equations in matrix form.

(a) What is the determinant of the coefficient matrix?

(Give your answer to two decimal places)

(Note: you can use either inversion or Cramer's rule to find the values of Y, C and T.)

(b) What is the equilibrium value of Y?

(Give your answer to two decimal places

(c) What is the equilibrium value of C?

(Give your answer to two decimal places)

(d) What is the equilibrium value of T?

(Give your answer to two decimal places)

(e) Identify the exogenous variable/s.

if there are more than one exogenous variable, separate each variable with a comma