- #1

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**u**,

**v**and

**w**are three linearly independent vectors of some vectorial space V, show that

**u**+

**v**,

**u**-

**v**and

**u**-2

**v**+

**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?