Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
If ||2x - y < 2 and ly| < 1, prove that | x-yll2-x.x < 2. If n = 3, x 3. yll

If ||2x - y < 2 and ly| < 1, prove that | x-yll2-x.x < 2. If n = 3, x 3. yll

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 32E
See similar textbooks
icon
Related questions
Question

please answer d

EXERCISES 8.1.1. Let x, y, z € R". a) If ||xz|| <2 and ly-z|| <3, prove that ||x-y| < 5. b) If ||x|| <2, |ly|| <3, and ||z|| < 4, prove that x-y-x-z< 14. c) If |x-y|| <2 and ||z|| <3, prove that ix- (y-z)-y. (x-2)| < 6. d) If ||2x -y|| < 2 and ly|| < 1, prove that | ||x-y||2-x-x/ < 2. e) If n = 3, ||xy|| <2, and ||z|| <3, prove that ||xx z-y x z|| < 6. f) If n = 3, ||x|| < 1, ly| < 2, and ||z|| <3, prove that ||x (y xz) || < 6. .
Transcribed Image Text:EXERCISES 8.1.1. Let x, y, z € R". a) If ||xz|| <2 and ly-z|| <3, prove that ||x-y| < 5. b) If ||x|| <2, |ly|| <3, and ||z|| < 4, prove that x-y-x-z< 14. c) If |x-y|| <2 and ||z|| <3, prove that ix- (y-z)-y. (x-2)| < 6. d) If ||2x -y|| < 2 and ly|| < 1, prove that | ||x-y||2-x-x/ < 2. e) If n = 3, ||xy|| <2, and ||z|| <3, prove that ||xx z-y x z|| < 6. f) If n = 3, ||x|| < 1, ly| < 2, and ||z|| <3, prove that ||x (y xz) || < 6. .
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
SEE MORE TEXTBOOKS