1. Show that six (or more) lines that have a common line of intersection (a common transversal) are linearly dependent. (Hint: put the common transversal on the z-axis and write down the matrix of coordinates of six lines that are general except that for each line R = 0.) Is it necessary to bring the quadratic identity, eqn (3.5), to bear on your solution?

1. Show that six (or more) lines that have a common line of intersection (a common transversal) are linearly dependent. (Hint: put the common transversal on the z-axis and write down the matrix of coordinates of six lines that are general except that for each line R = 0.) Is it necessary to bring the quadratic identity, eqn (3.5), to bear on your solution?

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ

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