1. Use the linear dependence relation to determine whether the given set is linearly independent or dependent. (a) (b) (c) {(£)·(E) ( F )·(8)} < 1 {1, 1 − x, 1+x, 1+x²} C P₂(R). -1 CR³ CR2×2 {(8) (2) (3)} CR²² ,
1. Use the linear dependence relation to determine whether the given set is linearly independent or dependent. (a) (b) (c) {(£)·(E) ( F )·(8)} < 1 {1, 1 − x, 1+x, 1+x²} C P₂(R). -1 CR³ CR2×2 {(8) (2) (3)} CR²² ,
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![1. Use the linear dependence relation to determine whether the given set is linearly independent or
dependent.
(a)
(b)
(c)
{(£)·(E) ( F )·(8)} <
1
{1, 1 − x, 1+x, 1+x²} C P₂(R).
-1
CR³
CR2×2
{(8) (2) (3)} CR²²
,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9328926a-b343-4d47-8a00-cbd9e6e36ac2%2Fb0ab90d2-24ce-495b-be81-22530e3390d7%2Fu4k9eqi_processed.png&w=3840&q=75)
Transcribed Image Text:1. Use the linear dependence relation to determine whether the given set is linearly independent or
dependent.
(a)
(b)
(c)
{(£)·(E) ( F )·(8)} <
1
{1, 1 − x, 1+x, 1+x²} C P₂(R).
-1
CR³
CR2×2
{(8) (2) (3)} CR²²
,
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