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Question

If a,b,c are linearly independent, then [2a+b, 2b+c, 2c+a][a, b, c]=


Correct Answer
A
9
Your Answer
B
8
Your Answer
C
7
Your Answer
D
None

Solution

The correct option is A 9
[2a+b,2b+c,2c+a][a,b,c]=∣ ∣210021102∣ ∣=2(40)1(01)=8+1=9

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