Homework Help is Here – Start Your Trial Now!
Math
Algebra
Consider an inner product on two P₂ vectors as (f, g) = f(-1)g(-1) + f(0)g(0) + f(2)g(2): 1) (−4 + (−6) x + (−5) x², −7 + 7x + (−9) x²) 2) ||−4 + (−6) x + (−5) x² || = 3) The distance between −4+ (-6) x + (-5) x² and -7 + 7x + (-9) x² is: 4) A value of a that would allow for 1 + ax and -4+ (-6) x + (-5) x² to be orthogonal would be:

Consider an inner product on two P₂ vectors as (f, g) = f(-1)g(-1) + f(0)g(0) + f(2)g(2): 1) (−4 + (−6) x + (−5) x², −7 + 7x + (−9) x²) 2) ||−4 + (−6) x + (−5) x² || = 3) The distance between −4+ (-6) x + (-5) x² and -7 + 7x + (-9) x² is: 4) A value of a that would allow for 1 + ax and -4+ (-6) x + (-5) x² to be orthogonal would be:

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
See similar textbooks
icon
Related questions
Question

answer no. 4 only plesse

Note: To use square roots, you can simply write "a^0.5". Consider an inner product on two P₂ vectors as (f, g) = f(-1)g(-1) + f(0)g(0) + f(2)g(2): 1) (−4+ (−6) x + (−5) x², −7+ 7x + (-9) x²) 2) ||−4+ (−6) x + (−5) x²|| = 3) The distance between −4+ (-6) x + (-5) x² and −7+ 7x + (-9) x² is: 4) A value of a that would allow for 1 + ax and −4+ (−6) x + (−5) x² to be orthogonal would be:
Transcribed Image Text:Note: To use square roots, you can simply write "a^0.5". Consider an inner product on two P₂ vectors as (f, g) = f(-1)g(-1) + f(0)g(0) + f(2)g(2): 1) (−4+ (−6) x + (−5) x², −7+ 7x + (-9) x²) 2) ||−4+ (−6) x + (−5) x²|| = 3) The distance between −4+ (-6) x + (-5) x² and −7+ 7x + (-9) x² is: 4) A value of a that would allow for 1 + ax and −4+ (−6) x + (−5) x² to be orthogonal would be:
Expert Solution
steps

Step by step

Solved in 2 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Similar questions
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS