×

Log in to StudySoup

Linear Algebra - 4 Edition - Chapter 7.1 - Problem 6
Forgot password?
Register Now
×

Join StudySoup

Get Full Access to Linear Algebra - 4 Edition - Chapter 7.1 - Problem 6
Already have an account? Login here
×
Reset your password

Solutions for Linear Algebra | 4th Edition | ISBN: 9780130084514 | Authors: Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence 9780130084514

Solution for problem 6 Chapter 7.1

Let T: V- Wbe a linear transformation. Prove the following results. (a) N(T) = N(-T)

Linear Algebra | 4th Edition


Problem 6

Let T: V- Wbe a linear transformation. Prove the following results. (a) N(T) = N(-T). (b) N(Tfc) = N((-T)fc). (c) If V = W (so that T is a linear operator on V) and A is an eigenvalue of T, then for any positive integer k N((T-Alv)fc ) = N((Al v -T)f c ).

Accepted Solution
Step-by-Step Solution:
Step 1 of 3

L3 - 6 ex. Find the values of the other trigonometric functions if θ is in Quadrant IV and cosθ = . 2 3 Basic Trigonometric Identities 1) sin θ +c os 2 θ =1 2) tan θ +1=s ec 2θ 2 2 3) 1 + cot θ =c c θ 4) sin(−θ)= −sinθ 5) cos(−θ)=c os θ

Chapter 7.1, Problem 6 is Solved

Step 2 of 3


Step 3 of 3

Unlock Textbook Solution

Enter your email below to unlock your verified solution to:

Let T: V- Wbe a linear transformation. Prove the following results. (a) N(T) = N(-T)