Project ForgeEngineering Mathematics
Linear Algebra
GATE 2015
Medium
The following set of three vectors (1,2,1), (x,6,x) and (3,4,2) is linearly dependent when x is equal to
- A0
- B1
- C2
- 3
Explanation
At x=3, the second vector (3,6,3)=3×(1,2,1), an exact scalar multiple of the first vector, making the set linearly dependent.
Source: GATE CH 2015 (2015)
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