(a) Find a system of two linear equations in the variables x1, x2 and x3 whose solutionset is given by the parametric equations x1 = t, x2= 1 + t, and x = 2 - t. (b) Find another parametric solution to the system in part (a) in which the parameter is s and x3 = s.

(a) Find a system of two linear equations in the variables x1, x2 and x3 whose solutionset is given by the parametric equations x1 = t, x2= 1 + t, and x = 2 - t. (b) Find another parametric solution to the system in part (a) in which the parameter is s and x3 = s.

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.1: Introduction To Systems Of Linear Equations

Problem 40EQ

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Question

(a) Find a system of two linear equations in the variables x₁, x₂ and x₃ whose solutionset is given by the parametric equations x₁ = t, x₂= 1 + t, and
x = 2 - t.

(b) Find another parametric solution to the system in part (a) in which the parameter is s and x₃ = s.

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