- #1
Fanta
- 38
- 0
If u,v andw are three linearly independent vectors of some vectorial space V, show that u + v , u-v and u -2v + w are also linearly independent.
Okay, first of all, i know that:
[tex]\lambda_{1} \times u + \lambda_{2} \times v + \lambda_{3} \times w = (0,0,0)[/tex]
admits only the solution that all lambdas = 0, but how can I proove that they are linearly independent, knowing so little?
Okay, first of all, i know that:
[tex]\lambda_{1} \times u + \lambda_{2} \times v + \lambda_{3} \times w = (0,0,0)[/tex]
admits only the solution that all lambdas = 0, but how can I proove that they are linearly independent, knowing so little?