Linear Algebra and Its Applications, 4th Edition

Published by Brooks Cole
ISBN 10: 0030105676
ISBN 13: 978-0-03010-567-8

Chapter 1 - Section 1.2 - The Geometry of Linear Equations - Problem Set - Page 9: 5

Answer

$(0,1,0,0),(1,0,0,0)$.

Work Step by Step

Plugging in $t=0$ and $z=0$ into the third equation, we get $x+y=1$. Thus $x=0,y=1$ and $x=1,y=0$ satisfy that equation. Thus two points on the line of intersection are $(0,1,0,0),(1,0,0,0)$.
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