Q6 Let s: , and By := {81, 8, N}. Let B, := {e, e, es, e} be the standard basis for R, and S:= span(B,). (a) Show that B, is a basis for the subspace S. (b) Let sES such that [sln, i. Find (s)s, and (N+ l. ii. Prove that sa E S and Find [s+ sala
Q6 Let s: , and By := {81, 8, N}. Let B, := {e, e, es, e} be the standard basis for R, and S:= span(B,). (a) Show that B, is a basis for the subspace S. (b) Let sES such that [sln, i. Find (s)s, and (N+ l. ii. Prove that sa E S and Find [s+ sala
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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Transcribed Image Text:Q6
Let s
and B : {N 2, N).
Let B (e,, e, ea, e) be the standard basis for R, and S:= span(B).
(a) Show that B, is a basis for the subspace S.
(b) Let se S such that [s)n,
1. Find (sla, and (s+ saJa,
ii. Prove that s ES and Find (N+ Nala
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