Let be a nonzero vector in Rn and let V = Span{v}. Show that V note that V¹ = {x € Rn|v.x=0}. What sort of equation is v.x = has dimension n - 1. HINT: x=0?
Let be a nonzero vector in Rn and let V = Span{v}. Show that V note that V¹ = {x € Rn|v.x=0}. What sort of equation is v.x = has dimension n - 1. HINT: x=0?
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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![Let be a nonzero vector in Rn and let V = Span{v}. Show that V has dimension n − 1. HINT:
note that V¹ = {ĩ € R^|✔ · x = 0}. What sort of equation is ✔ · × = √³x = 0?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc5518ab0-f2fc-4b75-bea2-7bc0edfda8d7%2F068eeda0-ba15-4507-bbd2-bacff5192a20%2Fp3j7abb_processed.png&w=3840&q=75)
Transcribed Image Text:Let be a nonzero vector in Rn and let V = Span{v}. Show that V has dimension n − 1. HINT:
note that V¹ = {ĩ € R^|✔ · x = 0}. What sort of equation is ✔ · × = √³x = 0?
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