Powered by Blogger.
Welcome to online portal for learning pure mathematics.
Showing posts with label Vector Space Questions. Show all posts
Showing posts with label Vector Space Questions. Show all posts

Vector Space Question-1

Question:- Express (1,2,3) as a linear combination of (1,1,1),(2,-1,1) and (1,-2,5) in V3(R).

Solution:- Let a1,a2,a3R such that
(1,2,3)=a1(1,1,1)+a2(2,-1,1)+a3(1,-2,5)……………………(a)
(1,2,3)=(a1,a1,a1)+(2a2,-a2,a2)+(a3,-2a3,5a3)

  • Digg
  • Del.icio.us
  • StumbleUpon
  • Reddit
  • RSS