(a) Use the elimination method to solve the following system of equations expressing x and y in terms of parameters m and n. 2x + 6y = 1 3x + my = n For what value of m does this system fail to possess a unique solution? What can you deduce about the solution when m takes this particular value? Distinguish between the case when (i) n = 1.5 (ii) n ± 1.5. (b) The equilibrium prices of three related goods satisfy the simultaneous equations 5P, - 3P, = 39 2P, + 4P,- 3P, = 28 3P, + P, = 29 Use the elimination method to find P, P2 and P3.

(a) Use the elimination method to solve the following system of equations expressing x and y in terms of parameters m and n. 2x + 6y = 1 3x + my = n For what value of m does this system fail to possess a unique solution? What can you deduce about the solution when m takes this particular value? Distinguish between the case when (i) n = 1.5 (ii) n ± 1.5. (b) The equilibrium prices of three related goods satisfy the simultaneous equations 5P, - 3P, = 39 2P, + 4P,- 3P, = 28 3P, + P, = 29 Use the elimination method to find P, P2 and P3.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.5: Iterative Methods For Solving Linear Systems

Problem 23EQ

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