Given the following sets of vectors in .
Select those which are linearly independent.

Question

Given the following sets of vectors in   . 
 Select those which are linearly independent.

Answer

Consider the vectors   
 u = ( 7, 7, 0 ) 
 v = ( 0, 7, 8 )

Answer

Consider the vectors   
 u = ( 7, 0, 7 ) 
 v = ( 0, 1, 8 ) 
 w = ( 7, 1, 15 )

Answer

Consider the vectors   
 u = ( 8.0, 7, 7.0 ) 
 v = ( 7, 7, 8 ) 
 w = ( 1, 0, -1 )

Answer

Consider the vectors   
 u = ( 7, 0, 0 ) 
 v = ( 0, 7, 0 ) 
 w = ( 0, 0, 8 )

Answer

Consider the vectors   
 u = ( 2, 14, 14 ) 
 v = ( 1, 7, 7 ) 
 w = ( 3, 21, 21 )

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