Determine whether or not the set B is a basis for the space spanned by the set A.

Solution: Given that
B 
2 1
3 , 1
2 1
    
    
    
        
And
A 
1 5 3
2 , 8 , 4
3 7 1
      
      
      
      
      

Our aim is to find whether B a basis for the space spanned by is A
Let
1 2 1
2 3 1
3 2 1
a b
     
     
      
          
, where ,a b are scalars.
2 1a b   ,
3 2a b  and...