You are Here: Home >< Maths

# Vector space basis Watch

1. "Give a basis of the vector space defined by the equation -3x-y=0 in R^3. Answer should be a 3x2 matrix."

I've tried looking through my notes but can't jog my memory on how this is done, could someone please lend a helping hand.

Thanks forum
2. (Original post by MathStuden)
"Give a basis of the vector space defined by the equation -3x-y=0 in R^3. Answer should be a 3x2 matrix."

I've tried looking through my notes but can't jog my memory on how this is done, could someone please lend a helping hand.

Thanks forum
The vector space is clearly two-dimensional, because we apply one constraint to a 3D space. You just want two linearly independent vectors which span that space. What does the space look like, if you were to plot it embedded in R^3? Does that make it easier to work out two spanning vectors?

TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

This forum is supported by:
Updated: May 15, 2013
Today on TSR

### Best unis for graduate salaries

Half of the top 10 aren't even RG...

### Should Disney have a gay princess?

Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• Poll
Useful resources

### Maths Forum posting guidelines

Not sure where to post? Read the updated guidelines here

### How to use LaTex

Writing equations the easy way

### Study habits of A* students

Top tips from students who have already aced their exams

## Groups associated with this forum:

View associated groups
Discussions on TSR

• Latest
• ## See more of what you like on The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

• The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE