Question 1135053
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The statement is  FALSE.


The counterexample is below:



<pre>
For example, let  v1  be the zero vector;   let  v2  be the zero vector, too,  and let only v3 is nonzero.


Then  v3  <U>is not a linear combination of v1 and v2</U>,  so the "if" condition is satisfied;  but {v1, v2, v3}  <U>IS NOT</U> linearly independent set.
</pre>


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