Question 5 of 10>| 3 -6 3 ]The solution space is a line through the origin-11() А —2-1115The solution space is a line through the originz =|| Question 5 of 10>Determine whether the solution space of the system Ax = 0 is a linethrough the origin, a plane through the origin, or the origin only. If itis a plane, find an equation for it. If it is a line, find parametricequations for it, using t as parameter.%3D1-2 1|(c) A =2 -4 23-6 3The solution space is Choose oneChoose onea line through the origina plane through the originthe origin1 -1(d) A = | 2 -1 51

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Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.2: Determinants

Problem 15AEXP

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Question 1 (a) Find the equation of the plane containing the points (3, –4, 2), (5, 1, –2) and (0, 2, –4). (b) Find the distance between the plane with equation 3x – 2y + z = 10 and the plane parallel to it, which passes through the point (–1, 2, 1)
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Determine whether the solution space of the system Ax = 0 is a line through the origin, a plane through the origin, or the origin only. If it is a plane, find an equation for it. If it is a line, find parametric equations for it, using t as parameter. %3D 1 -2 1 (c) A = 2 -4 2 3 -6 3 |