A community for students.
Here's the question you clicked on:
 0 viewing
LeoMessi
 3 years ago
How can the linear combination of two non singular and linearly independent vectors encompass the whole of 2D euclidean space?
LeoMessi
 3 years ago
How can the linear combination of two non singular and linearly independent vectors encompass the whole of 2D euclidean space?

This Question is Closed

Owlfred
 3 years ago
Best ResponseYou've already chosen the best response.0Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

nedved365
 3 years ago
Best ResponseYou've already chosen the best response.1You asked how so I am assuming the question isn't why you need specifically, 2 linearly independent vectors. Well consider the independent vectors v1 and v2 being (a,0) and (0,b) . I can get any vector (c,d) by multiplying v1 and v2 by some 2 scalar values and adding v1 and v2 together:\[\alpha _{1}(a,0)+\alpha _{2}(0,b) = (\alpha _{1}a, \alpha _{2}b)=(c,d)\] The simplest case to consider is the elementary vectors above with a and b both equaling 1. Then you just need to specify two alpha values.
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.