Question

27. Which of the following sets are Linearly
Independent?
(3)
a. {(1,2,3), (2,0,1), (3,2,4)}
b. {(1,1,0), (1,1,1),(-1,1,1)
c. {(2,3,6), (4,2,12), (4,10,12), (2,-1,6)}
d. {(3,2,4), (1,0,2), (1,-1,-1)}
1. a and b
2. c and d
3. b and d
4. a and d​

Answer 1

hii mate

A set of vectors { v 1 , v 2 ,..., v k } is linearly independent if and only if, for every j , the vector v j is not in Span { v 1 , v 2 ,..., v j − 1 } .