The equilibrium prices P1 and P2 for two goods satisfy the equations:−4P1 + P2 = −132P1 − 5P2 = −7(a) Express this system of equations in the matrix form Ax = b. (b) What is the determinant of matrix A? (c) Find the inverse of matrix A. (d) Using matrix algebra, calculate the equilibrium prices

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The equilibrium prices P1 and P2 for two goods satisfy the equations:
−4P1 + P2 = −13
2P1 − 5P2 = −7
(a) Express this system of equations in the matrix form Ax = b. 
(b) What is the determinant of matrix A? 
(c) Find the inverse of matrix A. 
(d) Using matrix algebra, calculate the equilibrium prices

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