Q: Is there a set of four vectors in R3, any three of which form a linearly independent set? Prove.(adsbygoogle = window.adsbygoogle || []).push({});

Okay so i know what linearly independent is, i have 3 vectors which are linearly independent but I can't find a fourth vector to satisfy the need of the questions like:

vectors: v1 = (0,0,1), v2 = (0,-2,2), v3 = (1,-2,1) these three vectors are linearly independent when you use Guassian Elimination on the matrix:

| 0 0 1 |

| 0 -2 -2 |

| 1 2 1 |

you get all the scalars equal to 0. So this satisfy the part where "any three of which form a linearly independent set" is written but the first part says need 4 vectors.

Any suggestions?

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# Homework Help: Vectors(linear independence)

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