/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q59E Show that if 0 is the neutral el... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q59E (page 178)

Show that if 0 is the neutral element of a linear space V then k0=0, for all scalars k.

Short Answer

Expert verified

The solution is k0=0.

Step by step solution

01

Explanation of the solution

Let k be a scalar and let a be an element.

Then as follows.

a+0=a

And as follows.

k(a+0)=ka

02

Solve using distributive property

Calculate by distributive property as follows.

ka+k0=kako=ka-kak0=0

Thus, k0=0

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Find all the solution of the differential equationf,,(x)-7f,(x)+12f(x)=0

Question : Find the basis of al2脳2matrix S such that[1111]S=S, and determine its dimension.

T denotes the space of infinity sequence of real numbers,T(f(t))=f(t2)from PtoP.

Question: Find the transformation is linear and determine whether they are isomorphism.

if f1,f2,f3is a basis of linear space V and if f is any element of V then the elements f+f1,f+f2,f+f3must form a basis of V as well.
See all solutions

Recommended explanations on Math Textbooks

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Pure Maths

Read Explanation

Logic and Functions

Read Explanation

Decision Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.