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

Question

David · Accepted Answer

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   ,

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

Solution

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