- #1

gikiian

- 98

- 0

My first guess is that they should be linearly dependent since i is a constant.

But when you apply the definition of linear independence i.e. when you solve ax+ibx=0 (where x≠0), you get a=-ib which shows that the only solution can be a,b=0.

Hence, according to definition of linear independence, x and ix should be linearly independent.

Am I correct?