Is a vector in a vectorspace its own projection onto that vectorspace?


by NoOne0507
Tags: projection, vector, vectorspace
NoOne0507
NoOne0507 is offline
#1
May7-12, 01:55 PM
P: 16
If V is a vectorspace and v is a vector in V. will the projection of v onto V be v?
Phys.Org News Partner Science news on Phys.org
Lemurs match scent of a friend to sound of her voice
Repeated self-healing now possible in composite materials
'Heartbleed' fix may slow Web performance
tiny-tim
tiny-tim is offline
#2
May7-12, 03:34 PM
Sci Advisor
HW Helper
Thanks
tiny-tim's Avatar
P: 26,167
Hi NoOne0507!

If you mean "if V is a subspace of vectorspace W and v is a vector in V will the projection of v onto V be v?", the answer is, yes.


Register to reply

Related Discussions
closed subset of vectorspace Calculus & Beyond Homework 1
Dimension of a matrix vectorspace Calculus & Beyond Homework 1
Basis of a subspace of a vectorspace Linear & Abstract Algebra 8
Normed vectorspace Calculus & Beyond Homework 1
Vectorspace of matrices Introductory Physics Homework 2