in linear algebra, if i am told to find a basis for the following(adsbygoogle = window.adsbygoogle || []).push({});

W={(x,y,z,t)|x+y=0, x+t=0}

what i did was

1 1

1 0

0 0

0 1

after performing elementary actions on rows, i came to

1 0

0 1

0 0

0 0

from here i can see that they are linearly independant and they cleary span their own space so they are my basis.

basis= (1,1,0,0) (0,1,0,1)

the correct solution in my book was quite different, they put the vectors lying down like so

1 1 0 0

0 1 0 1

and eventually got to

1 0 0 -1

0 1 0 1

what is the reason that my way is wrong,

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Finding the basis of this subspace

**Physics Forums | Science Articles, Homework Help, Discussion**