×
Get Full Access to Linear Algebra And Its Applications - 5 Edition - Chapter 4.1 - Problem 30e
Get Full Access to Linear Algebra And Its Applications - 5 Edition - Chapter 4.1 - Problem 30e

×

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

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 vector in V, such that For in V, and, for a scalar , the scalar multiple of by , is denoted by , is in .    Step 2 of 2

##### ISBN: 9780321982384

Unlock Textbook Solution