Find a Basis for the Subspace of R4

  • #1

Homework Statement



Find a basis for the subspace of R4 spanned by S.


Homework Equations



S: {(2,9,-2,53), (-3,2,3,-2), (8,-3,-8,17), (0,-3,0,15)}

I've attempted this using a matrix and row reducing it. I'm just not sure if there's another simpler way, as I keep on getting incorrect numbers in the matrix, when I try and put it in row-echelon format. Thanks in advance for any and all assistance.

See ya on the flipside,

Tempest Desh

Homework Statement





Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #3
1,384
2
A quick way to apply your idea. Go to http://www.wolframalpha.com/ and enter:

RowReduce[{{2, 9, -2, 53}, {-3, 2, 3, -2}, {8, -3, -8, 17}, {0, -3, 0, 15}}]
 
  • #4
Dick
Science Advisor
Homework Helper
26,260
619
It really might help a lot to figure out what you are doing wrong if you showed us what you got when you row reduced it. Wouldn't it? That is the right way to do it.
 

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