You are Here: Home >< Maths

# Linear Algebra help needed Watch

1. Q) Find the dimension of the subspace of K^n that is spanned by the sequence of vectors (1,1,0,0), (0,1,0,1), (1,0,0,-1), (0,0,1,0), (1,0,1,-1), (0,2,1,2) Find a subsequence that is a basis of this subspace.

My attempt:

I sifted the sequence of vectors to get the subsequence (1,1,0,0), (0,1,0,1), (0,0,1,0). Therefore the dimension is three and this subsequence forms a basis of this subspace

Am I correct?
2. (Original post by pineapplechemist)
Q) Find the dimension of the subspace of K^n that is spanned by the sequence of vectors (1,1,0,0), (0,1,0,1), (1,0,0,-1), (0,0,1,0), (1,0,1,-1), (0,2,1,2) Find a subsequence that is a basis of this subspace.

My attempt:

I sifted the sequence of vectors to get the subsequence (1,1,0,0), (0,1,0,1), (0,0,1,0). Therefore the dimension is three and this subsequence forms a basis of this subspace

Am I correct?
I think so.
3. (Original post by rayquaza17)
I think so.
Thanks

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: January 31, 2015
Today on TSR

### Should I ask for his number?

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