linear algebra question

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meto

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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
 

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
 

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,
 

i think its possible!!
 

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