linear algebra question

[meto]

Hi everybody

How I can generate basis vectors for a 8x8 matrix which is known?I think that first colon of the matrix is basis and others colons are also basis for a 8x8 matrix.This is true or not .

Thanks

 

[bushra safdar]

i think that it is true

 

[mayyan]

What you say is posible. But be carfull!!! You must check that there is no depandency between the vectors. Only then it could be a basis. For algorithem you can use any basic linear algera book.

regards
mayyan

 

[tantoun2004]

If your 8 by 8 matrix has rank =8 then all its columns are the basis but if the rank is less, some columns are dependent and do not form a basis. For example if u put a column and then u multiply by 2,3 4,... all columns are dependent and u get one basis vector.
Best wishes,

 

[alisha]

i think its possible!!