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. 1 1 5 5 0 -2 -8 -3 The solution space is Choose one (a) A = -1 1 (b) A = 2 -[ 2 3 3 3 1 09 The solution space is Choose one

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. 1 1 5 5 0 -2 -8 -3 The solution space is Choose one (a) A = -1 1 (b) A = 2 -[ 2 3 3 3 1 09 The solution space is Choose one

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter1: Vectors

Section1.3: Lines And Planes

Problem 25EQ

See similar textbooks

Similar questions

Find a system of two equations in two variables, x1 and x2, that has the solution set given by the parametric representation x1=t and x2=3t4, where t is any real number. Then show that the solutions to the system can also be written as x1=43+t3 and x2=t.
[19-R] [CLO 8] Give an example of a point which is the thirdquadrant of the Cartesian plane.
2. Show that ( 1, 6), (0, 3), (1, 2), and (2, 3) lie on a common parabola.Hint: For scratch work, plug three of these points into y= ax2+ bx+c toobtain three linear equations determining a , b, and c.
The equation of the Plane in the form of Ax+By+Cz+D=0 that passes through points (3,1,-2), (-1,2,4) and (2,-1,1). Which of the following is the possible sum of A,B and C.
give a geometric description of the set of points inspace whose coordinates satisfy the given pairs of equations. x2 + y2 = 4, z = 0