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Which of the following would be a linear combination of {(a,b),(c,d)}? (a,b,c,d ≠0) 

 

a) (a,b+d) 

b) (a+c,b+d) 

c) (a+c,b) 

d) (a,d) 

 

Please Help

Julius  May 9, 2018
 #1
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The answer is b), because

 

(a,b)+(c,d)=(a+c,b+d). This works for every value of a, b, c and d. The other options CAN be combinations of {(a,b),(c,d)}, but not for every value of a, b, c and d (only for specific ones)

Guest May 18, 2018
edited by Guest  May 18, 2018

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