×
Log in to StudySoup
Get Full Access to Linear Algebra And Its Applications - 5 Edition - Chapter 4.1 - Problem 30e
Join StudySoup for FREE
Get Full Access to Linear Algebra And Its Applications - 5 Edition - Chapter 4.1 - Problem 30e

Already have an account? Login here
×
Reset your password

Suppose cu = 0 for some nonzero scalar c. Show that u = 0.

Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald ISBN: 9780321982384 49

Solution for problem 30E Chapter 4.1

Linear Algebra and Its Applications | 5th Edition

  • Textbook Solutions
  • 2901 Step-by-step solutions solved by professors and subject experts
  • Get 24/7 help from StudySoup virtual teaching assistants
Linear Algebra and Its Applications | 5th Edition | ISBN: 9780321982384 | Authors: David C. Lay; Steven R. Lay; Judi J. McDonald

Linear Algebra and Its Applications | 5th Edition

4 5 1 395 Reviews
28
4
Problem 30E

Problem 30E

Suppose cu = 0 for some nonzero scalar c. Show that u = 0. Mention the axioms or properties you use.

Step-by-Step Solution:

Solution 30E

Step 1 of 2

Consider for some nonzero scalar c,

Need to show that,

Suppose a non-empty set of vectors, V is a vector space. Then, the following axioms must hold for all vectors in V, and, for all scalars, and, .

 If  are in V, then, the sum of  denoted by, is in V.

 

 

 , where zero 0, is a vector in V.

 For each  in V, there exists a vectorin V, such that

 For in V, and, for a scalar, the scalar multiple of by, is denoted by , is in.

 

 

 

 

Step 2 of 2

Chapter 4.1, Problem 30E is Solved
Textbook: Linear Algebra and Its Applications
Edition: 5
Author: David C. Lay; Steven R. Lay; Judi J. McDonald
ISBN: 9780321982384

Other solutions

People also purchased

Related chapters

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Suppose cu = 0 for some nonzero scalar c. Show that u = 0.